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Finding the Fourth Proportional to 137,333.84, 205,948.92 and 63,410

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Solution

The fourth proportional to 137,333.84, 205,948.92 and 63,410 is: 95,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,333.84 : 205,948.92 = 63,410 : x
  2. Step 2: Convert to fraction form
    137,333.84/205,948.92 = 63,410/x
  3. Step 3: Cross multiply
    137,333.84x = 205,948.92 × 63,410
  4. Step 4: Simplify right side
    137,333.84x = 13,059,221,017.20
  5. Step 5: Solve for x
    x = 13,059,221,017.20/137,333.84
  6. Step 6: Final answer
    x = 95,091.06

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