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Finding the Fourth Proportional to 127,712.68, 176,102.58 and 87,433

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Solution

The fourth proportional to 127,712.68, 176,102.58 and 87,433 is: 120,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712.68 : 176,102.58 = 87,433 : x
  2. Step 2: Convert to fraction form
    127,712.68/176,102.58 = 87,433/x
  3. Step 3: Cross multiply
    127,712.68x = 176,102.58 × 87,433
  4. Step 4: Simplify right side
    127,712.68x = 15,397,176,877.14
  5. Step 5: Solve for x
    x = 15,397,176,877.14/127,712.68
  6. Step 6: Final answer
    x = 120,561.07

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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.