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Finding the Fourth Proportional to 178,051.90, 245,711.16 and 97,478.74

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Solution

The fourth proportional to 178,051.90, 245,711.16 and 97,478.74 is: 134,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,051.90 : 245,711.16 = 97,478.74 : x
  2. Step 2: Convert to fraction form
    178,051.90/245,711.16 = 97,478.74/x
  3. Step 3: Cross multiply
    178,051.90x = 245,711.16 × 97,478.74
  4. Step 4: Simplify right side
    178,051.90x = 23,951,614,280.74
  5. Step 5: Solve for x
    x = 23,951,614,280.74/178,051.90
  6. Step 6: Final answer
    x = 134,520.41

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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.