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Finding the Fourth Proportional to 178,102.50, 245,781.52 and 97,535.04

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Solution

The fourth proportional to 178,102.50, 245,781.52 and 97,535.04 is: 134,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,102.50 : 245,781.52 = 97,535.04 : x
  2. Step 2: Convert to fraction form
    178,102.50/245,781.52 = 97,535.04/x
  3. Step 3: Cross multiply
    178,102.50x = 245,781.52 × 97,535.04
  4. Step 4: Simplify right side
    178,102.50x = 23,972,310,384.46
  5. Step 5: Solve for x
    x = 23,972,310,384.46/178,102.50
  6. Step 6: Final answer
    x = 134,598.39

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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.