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Finding the Fourth Proportional to 162,005.80, 243,008.70 and 144,947.20

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Solution

The fourth proportional to 162,005.80, 243,008.70 and 144,947.20 is: 217,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,005.80 : 243,008.70 = 144,947.20 : x
  2. Step 2: Convert to fraction form
    162,005.80/243,008.70 = 144,947.20/x
  3. Step 3: Cross multiply
    162,005.80x = 243,008.70 × 144,947.20
  4. Step 4: Simplify right side
    162,005.80x = 35,223,430,640.64
  5. Step 5: Solve for x
    x = 35,223,430,640.64/162,005.80
  6. Step 6: Final answer
    x = 217,420.80

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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.