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Finding the Fourth Proportional to 176,032.50, 242,924.90 and 95,460.00

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Solution

The fourth proportional to 176,032.50, 242,924.90 and 95,460.00 is: 131,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,032.50 : 242,924.90 = 95,460.00 : x
  2. Step 2: Convert to fraction form
    176,032.50/242,924.90 = 95,460.00/x
  3. Step 3: Cross multiply
    176,032.50x = 242,924.90 × 95,460.00
  4. Step 4: Simplify right side
    176,032.50x = 23,189,609,500.73
  5. Step 5: Solve for x
    x = 23,189,609,500.73/176,032.50
  6. Step 6: Final answer
    x = 131,734.82

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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.