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Finding the Fourth Proportional to 149,374.16, 224,012.48 and 54,582.56

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Solution

The fourth proportional to 149,374.16, 224,012.48 and 54,582.56 is: 81,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,374.16 : 224,012.48 = 54,582.56 : x
  2. Step 2: Convert to fraction form
    149,374.16/224,012.48 = 54,582.56/x
  3. Step 3: Cross multiply
    149,374.16x = 224,012.48 × 54,582.56
  4. Step 4: Simplify right side
    149,374.16x = 12,227,174,630.35
  5. Step 5: Solve for x
    x = 12,227,174,630.35/149,374.16
  6. Step 6: Final answer
    x = 81,856.02

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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.