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Finding the Fourth Proportional to 149,373, 224,059.95 and 38,565

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Solution

The fourth proportional to 149,373, 224,059.95 and 38,565 is: 57,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,373 : 224,059.95 = 38,565 : x
  2. Step 2: Convert to fraction form
    149,373/224,059.95 = 38,565/x
  3. Step 3: Cross multiply
    149,373x = 224,059.95 × 38,565
  4. Step 4: Simplify right side
    149,373x = 8,640,871,971.75
  5. Step 5: Solve for x
    x = 8,640,871,971.75/149,373
  6. Step 6: Final answer
    x = 57,847.62

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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.