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Finding the Fourth Proportional to 145,321.80, 217,820.70 and 56,545.80

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Solution

The fourth proportional to 145,321.80, 217,820.70 and 56,545.80 is: 84,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,321.80 : 217,820.70 = 56,545.80 : x
  2. Step 2: Convert to fraction form
    145,321.80/217,820.70 = 56,545.80/x
  3. Step 3: Cross multiply
    145,321.80x = 217,820.70 × 56,545.80
  4. Step 4: Simplify right side
    145,321.80x = 12,316,845,738.06
  5. Step 5: Solve for x
    x = 12,316,845,738.06/145,321.80
  6. Step 6: Final answer
    x = 84,755.66

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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.