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Finding the Fourth Proportional to 149,881.16, 224,820.12 and 37,560.08

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Solution

The fourth proportional to 149,881.16, 224,820.12 and 37,560.08 is: 56,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,881.16 : 224,820.12 = 37,560.08 : x
  2. Step 2: Convert to fraction form
    149,881.16/224,820.12 = 37,560.08/x
  3. Step 3: Cross multiply
    149,881.16x = 224,820.12 × 37,560.08
  4. Step 4: Simplify right side
    149,881.16x = 8,444,261,692.81
  5. Step 5: Solve for x
    x = 8,444,261,692.81/149,881.16
  6. Step 6: Final answer
    x = 56,339.71

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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.