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Finding the Fourth Proportional to 149,583.61, 224,309.62 and 56,023.75

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Solution

The fourth proportional to 149,583.61, 224,309.62 and 56,023.75 is: 84,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,583.61 : 224,309.62 = 56,023.75 : x
  2. Step 2: Convert to fraction form
    149,583.61/224,309.62 = 56,023.75/x
  3. Step 3: Cross multiply
    149,583.61x = 224,309.62 × 56,023.75
  4. Step 4: Simplify right side
    149,583.61x = 12,566,666,073.48
  5. Step 5: Solve for x
    x = 12,566,666,073.48/149,583.61
  6. Step 6: Final answer
    x = 84,010.98

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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.