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Finding the Fourth Proportional to 177,654, 245,155.24 and 97,084.24

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Solution

The fourth proportional to 177,654, 245,155.24 and 97,084.24 is: 133,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,654 : 245,155.24 = 97,084.24 : x
  2. Step 2: Convert to fraction form
    177,654/245,155.24 = 97,084.24/x
  3. Step 3: Cross multiply
    177,654x = 245,155.24 × 97,084.24
  4. Step 4: Simplify right side
    177,654x = 23,800,710,157.42
  5. Step 5: Solve for x
    x = 23,800,710,157.42/177,654
  6. Step 6: Final answer
    x = 133,972.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.