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Finding the Fourth Proportional to 136,534.68, 204,893.13 and 47,788.20

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Solution

The fourth proportional to 136,534.68, 204,893.13 and 47,788.20 is: 71,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,534.68 : 204,893.13 = 47,788.20 : x
  2. Step 2: Convert to fraction form
    136,534.68/204,893.13 = 47,788.20/x
  3. Step 3: Cross multiply
    136,534.68x = 204,893.13 × 47,788.20
  4. Step 4: Simplify right side
    136,534.68x = 9,791,473,875.07
  5. Step 5: Solve for x
    x = 9,791,473,875.07/136,534.68
  6. Step 6: Final answer
    x = 71,714.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.