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Finding the Fourth Proportional to 178,175.27, 245,881.85 and 97,602.77

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Solution

The fourth proportional to 178,175.27, 245,881.85 and 97,602.77 is: 134,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,175.27 : 245,881.85 = 97,602.77 : x
  2. Step 2: Convert to fraction form
    178,175.27/245,881.85 = 97,602.77/x
  3. Step 3: Cross multiply
    178,175.27x = 245,881.85 × 97,602.77
  4. Step 4: Simplify right side
    178,175.27x = 23,998,749,565.62
  5. Step 5: Solve for x
    x = 23,998,749,565.62/178,175.27
  6. Step 6: Final answer
    x = 134,691.81

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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.