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Finding the Fourth Proportional to 137,670.36, 206,527.14 and 58,785

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Solution

The fourth proportional to 137,670.36, 206,527.14 and 58,785 is: 88,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,670.36 : 206,527.14 = 58,785 : x
  2. Step 2: Convert to fraction form
    137,670.36/206,527.14 = 58,785/x
  3. Step 3: Cross multiply
    137,670.36x = 206,527.14 × 58,785
  4. Step 4: Simplify right side
    137,670.36x = 12,140,697,924.90
  5. Step 5: Solve for x
    x = 12,140,697,924.90/137,670.36
  6. Step 6: Final answer
    x = 88,186.72

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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.