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Finding the Fourth Proportional to 145,983.80, 218,813.70 and 57,207.80

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Solution

The fourth proportional to 145,983.80, 218,813.70 and 57,207.80 is: 85,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,983.80 : 218,813.70 = 57,207.80 : x
  2. Step 2: Convert to fraction form
    145,983.80/218,813.70 = 57,207.80/x
  3. Step 3: Cross multiply
    145,983.80x = 218,813.70 × 57,207.80
  4. Step 4: Simplify right side
    145,983.80x = 12,517,850,386.86
  5. Step 5: Solve for x
    x = 12,517,850,386.86/145,983.80
  6. Step 6: Final answer
    x = 85,748.22

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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.