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Finding the Fourth Proportional to 145,981.80, 218,810.70 and 57,205.80

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Solution

The fourth proportional to 145,981.80, 218,810.70 and 57,205.80 is: 85,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,981.80 : 218,810.70 = 57,205.80 : x
  2. Step 2: Convert to fraction form
    145,981.80/218,810.70 = 57,205.80/x
  3. Step 3: Cross multiply
    145,981.80x = 218,810.70 × 57,205.80
  4. Step 4: Simplify right side
    145,981.80x = 12,517,241,142.06
  5. Step 5: Solve for x
    x = 12,517,241,142.06/145,981.80
  6. Step 6: Final answer
    x = 85,745.22

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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.