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Finding the Fourth Proportional to 162,004.70, 243,007.05 and 147,230.30

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Solution

The fourth proportional to 162,004.70, 243,007.05 and 147,230.30 is: 220,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004.70 : 243,007.05 = 147,230.30 : x
  2. Step 2: Convert to fraction form
    162,004.70/243,007.05 = 147,230.30/x
  3. Step 3: Cross multiply
    162,004.70x = 243,007.05 × 147,230.30
  4. Step 4: Simplify right side
    162,004.70x = 35,778,000,873.62
  5. Step 5: Solve for x
    x = 35,778,000,873.62/162,004.70
  6. Step 6: Final answer
    x = 220,845.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.