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Finding the Fourth Proportional to 149,580.64, 224,314.96 and 49,722.40

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Solution

The fourth proportional to 149,580.64, 224,314.96 and 49,722.40 is: 74,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,580.64 : 224,314.96 = 49,722.40 : x
  2. Step 2: Convert to fraction form
    149,580.64/224,314.96 = 49,722.40/x
  3. Step 3: Cross multiply
    149,580.64x = 224,314.96 × 49,722.40
  4. Step 4: Simplify right side
    149,580.64x = 11,153,478,167.10
  5. Step 5: Solve for x
    x = 11,153,478,167.10/149,580.64
  6. Step 6: Final answer
    x = 74,564.98

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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.