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Finding the Fourth Proportional to 149,726.40, 224,402.72 and 74,867.96

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Solution

The fourth proportional to 149,726.40, 224,402.72 and 74,867.96 is: 112,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726.40 : 224,402.72 = 74,867.96 : x
  2. Step 2: Convert to fraction form
    149,726.40/224,402.72 = 74,867.96/x
  3. Step 3: Cross multiply
    149,726.40x = 224,402.72 × 74,867.96
  4. Step 4: Simplify right side
    149,726.40x = 16,800,572,368.50
  5. Step 5: Solve for x
    x = 16,800,572,368.50/149,726.40
  6. Step 6: Final answer
    x = 112,208.48

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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.