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Finding the Fourth Proportional to 175,232, 241,820.16 and 95,744

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Solution

The fourth proportional to 175,232, 241,820.16 and 95,744 is: 132,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,232 : 241,820.16 = 95,744 : x
  2. Step 2: Convert to fraction form
    175,232/241,820.16 = 95,744/x
  3. Step 3: Cross multiply
    175,232x = 241,820.16 × 95,744
  4. Step 4: Simplify right side
    175,232x = 23,152,829,399.04
  5. Step 5: Solve for x
    x = 23,152,829,399.04/175,232
  6. Step 6: Final answer
    x = 132,126.72

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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.