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Finding the Fourth Proportional to 261,224.31, 360,155.83 and 169,180.98

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Solution

The fourth proportional to 261,224.31, 360,155.83 and 169,180.98 is: 233,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,224.31 : 360,155.83 = 169,180.98 : x
  2. Step 2: Convert to fraction form
    261,224.31/360,155.83 = 169,180.98/x
  3. Step 3: Cross multiply
    261,224.31x = 360,155.83 × 169,180.98
  4. Step 4: Simplify right side
    261,224.31x = 60,931,516,841.67
  5. Step 5: Solve for x
    x = 60,931,516,841.67/261,224.31
  6. Step 6: Final answer
    x = 233,253.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.