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Finding the Fourth Proportional to 175,882.76, 242,711.16 and 103,275.98

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Solution

The fourth proportional to 175,882.76, 242,711.16 and 103,275.98 is: 142,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,882.76 : 242,711.16 = 103,275.98 : x
  2. Step 2: Convert to fraction form
    175,882.76/242,711.16 = 103,275.98/x
  3. Step 3: Cross multiply
    175,882.76x = 242,711.16 × 103,275.98
  4. Step 4: Simplify right side
    175,882.76x = 25,066,232,905.94
  5. Step 5: Solve for x
    x = 25,066,232,905.94/175,882.76
  6. Step 6: Final answer
    x = 142,516.71

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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.