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Finding the Fourth Proportional to 178,089.76, 245,763.84 and 97,517.28

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Solution

The fourth proportional to 178,089.76, 245,763.84 and 97,517.28 is: 134,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,089.76 : 245,763.84 = 97,517.28 : x
  2. Step 2: Convert to fraction form
    178,089.76/245,763.84 = 97,517.28/x
  3. Step 3: Cross multiply
    178,089.76x = 245,763.84 × 97,517.28
  4. Step 4: Simplify right side
    178,089.76x = 23,966,221,199.16
  5. Step 5: Solve for x
    x = 23,966,221,199.16/178,089.76
  6. Step 6: Final answer
    x = 134,573.83

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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.