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Finding the Fourth Proportional to 137,884.50, 206,730.27 and 70,437.42

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Solution

The fourth proportional to 137,884.50, 206,730.27 and 70,437.42 is: 105,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.50 : 206,730.27 = 70,437.42 : x
  2. Step 2: Convert to fraction form
    137,884.50/206,730.27 = 70,437.42/x
  3. Step 3: Cross multiply
    137,884.50x = 206,730.27 × 70,437.42
  4. Step 4: Simplify right side
    137,884.50x = 14,561,547,118.84
  5. Step 5: Solve for x
    x = 14,561,547,118.84/137,884.50
  6. Step 6: Final answer
    x = 105,606.85

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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.