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Finding the Fourth Proportional to 149,773.68, 224,656.14 and 61,005.24

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Solution

The fourth proportional to 149,773.68, 224,656.14 and 61,005.24 is: 91,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773.68 : 224,656.14 = 61,005.24 : x
  2. Step 2: Convert to fraction form
    149,773.68/224,656.14 = 61,005.24/x
  3. Step 3: Cross multiply
    149,773.68x = 224,656.14 × 61,005.24
  4. Step 4: Simplify right side
    149,773.68x = 13,705,201,738.17
  5. Step 5: Solve for x
    x = 13,705,201,738.17/149,773.68
  6. Step 6: Final answer
    x = 91,506.08

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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.