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Finding the Fourth Proportional to 162,648.80, 243,973.20 and 106,841.60

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Solution

The fourth proportional to 162,648.80, 243,973.20 and 106,841.60 is: 160,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,648.80 : 243,973.20 = 106,841.60 : x
  2. Step 2: Convert to fraction form
    162,648.80/243,973.20 = 106,841.60/x
  3. Step 3: Cross multiply
    162,648.80x = 243,973.20 × 106,841.60
  4. Step 4: Simplify right side
    162,648.80x = 26,066,487,045.12
  5. Step 5: Solve for x
    x = 26,066,487,045.12/162,648.80
  6. Step 6: Final answer
    x = 160,262.40

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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.