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Finding the Fourth Proportional to 141,646.56, 212,500.16 and 57,405.76

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Solution

The fourth proportional to 141,646.56, 212,500.16 and 57,405.76 is: 86,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,646.56 : 212,500.16 = 57,405.76 : x
  2. Step 2: Convert to fraction form
    141,646.56/212,500.16 = 57,405.76/x
  3. Step 3: Cross multiply
    141,646.56x = 212,500.16 × 57,405.76
  4. Step 4: Simplify right side
    141,646.56x = 12,198,733,184.92
  5. Step 5: Solve for x
    x = 12,198,733,184.92/141,646.56
  6. Step 6: Final answer
    x = 86,120.93

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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.