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Finding the Fourth Proportional to 234,686.12, 323,781.98 and 154,157

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Solution

The fourth proportional to 234,686.12, 323,781.98 and 154,157 is: 212,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,686.12 : 323,781.98 = 154,157 : x
  2. Step 2: Convert to fraction form
    234,686.12/323,781.98 = 154,157/x
  3. Step 3: Cross multiply
    234,686.12x = 323,781.98 × 154,157
  4. Step 4: Simplify right side
    234,686.12x = 49,913,258,690.86
  5. Step 5: Solve for x
    x = 49,913,258,690.86/234,686.12
  6. Step 6: Final answer
    x = 212,680.91

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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.