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Finding the Fourth Proportional to 102,714.96, 141,733.62 and 60,258

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Solution

The fourth proportional to 102,714.96, 141,733.62 and 60,258 is: 83,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.96 : 141,733.62 = 60,258 : x
  2. Step 2: Convert to fraction form
    102,714.96/141,733.62 = 60,258/x
  3. Step 3: Cross multiply
    102,714.96x = 141,733.62 × 60,258
  4. Step 4: Simplify right side
    102,714.96x = 8,540,584,473.96
  5. Step 5: Solve for x
    x = 8,540,584,473.96/102,714.96
  6. Step 6: Final answer
    x = 83,148.40

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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.