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Finding the Fourth Proportional to 194,545.92, 291,831.84 and 61,431.60

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Solution

The fourth proportional to 194,545.92, 291,831.84 and 61,431.60 is: 92,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,545.92 : 291,831.84 = 61,431.60 : x
  2. Step 2: Convert to fraction form
    194,545.92/291,831.84 = 61,431.60/x
  3. Step 3: Cross multiply
    194,545.92x = 291,831.84 × 61,431.60
  4. Step 4: Simplify right side
    194,545.92x = 17,927,696,862.14
  5. Step 5: Solve for x
    x = 17,927,696,862.14/194,545.92
  6. Step 6: Final answer
    x = 92,151.49

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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.