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Finding the Fourth Proportional to 537,151.64, 805,727.66 and 137,792.41

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Solution

The fourth proportional to 537,151.64, 805,727.66 and 137,792.41 is: 206,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,151.64 : 805,727.66 = 137,792.41 : x
  2. Step 2: Convert to fraction form
    537,151.64/805,727.66 = 137,792.41/x
  3. Step 3: Cross multiply
    537,151.64x = 805,727.66 × 137,792.41
  4. Step 4: Simplify right side
    537,151.64x = 111,023,153,371.78
  5. Step 5: Solve for x
    x = 111,023,153,371.78/537,151.64
  6. Step 6: Final answer
    x = 206,688.66

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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.