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Finding the Fourth Proportional to 131,838.71, 181,887.21 and 97,465.97

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Solution

The fourth proportional to 131,838.71, 181,887.21 and 97,465.97 is: 134,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.71 : 181,887.21 = 97,465.97 : x
  2. Step 2: Convert to fraction form
    131,838.71/181,887.21 = 97,465.97/x
  3. Step 3: Cross multiply
    131,838.71x = 181,887.21 × 97,465.97
  4. Step 4: Simplify right side
    131,838.71x = 17,727,812,443.81
  5. Step 5: Solve for x
    x = 17,727,812,443.81/131,838.71
  6. Step 6: Final answer
    x = 134,465.92

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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.