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Finding the Fourth Proportional to 103,576.46, 142,931.40 and 61,148.66

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Solution

The fourth proportional to 103,576.46, 142,931.40 and 61,148.66 is: 84,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,576.46 : 142,931.40 = 61,148.66 : x
  2. Step 2: Convert to fraction form
    103,576.46/142,931.40 = 61,148.66/x
  3. Step 3: Cross multiply
    103,576.46x = 142,931.40 × 61,148.66
  4. Step 4: Simplify right side
    103,576.46x = 8,740,063,581.92
  5. Step 5: Solve for x
    x = 8,740,063,581.92/103,576.46
  6. Step 6: Final answer
    x = 84,382.72

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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.