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Finding the Fourth Proportional to 141,713.70, 212,581.53 and 57,433.74

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Solution

The fourth proportional to 141,713.70, 212,581.53 and 57,433.74 is: 86,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,713.70 : 212,581.53 = 57,433.74 : x
  2. Step 2: Convert to fraction form
    141,713.70/212,581.53 = 57,433.74/x
  3. Step 3: Cross multiply
    141,713.70x = 212,581.53 × 57,433.74
  4. Step 4: Simplify right side
    141,713.70x = 12,209,352,322.82
  5. Step 5: Solve for x
    x = 12,209,352,322.82/141,713.70
  6. Step 6: Final answer
    x = 86,155.06

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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.