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Finding the Fourth Proportional to 144,002.50, 215,981.84 and 55,297.78

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Solution

The fourth proportional to 144,002.50, 215,981.84 and 55,297.78 is: 82,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,002.50 : 215,981.84 = 55,297.78 : x
  2. Step 2: Convert to fraction form
    144,002.50/215,981.84 = 55,297.78/x
  3. Step 3: Cross multiply
    144,002.50x = 215,981.84 × 55,297.78
  4. Step 4: Simplify right side
    144,002.50x = 11,943,316,272.32
  5. Step 5: Solve for x
    x = 11,943,316,272.32/144,002.50
  6. Step 6: Final answer
    x = 82,938.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.