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Finding the Fourth Proportional to 175,650, 242,330.84 and 115,253.98

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Solution

The fourth proportional to 175,650, 242,330.84 and 115,253.98 is: 159,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,650 : 242,330.84 = 115,253.98 : x
  2. Step 2: Convert to fraction form
    175,650/242,330.84 = 115,253.98/x
  3. Step 3: Cross multiply
    175,650x = 242,330.84 × 115,253.98
  4. Step 4: Simplify right side
    175,650x = 27,929,593,786.74
  5. Step 5: Solve for x
    x = 27,929,593,786.74/175,650
  6. Step 6: Final answer
    x = 159,007.08

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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.