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Finding the Fourth Proportional to 147,314.70, 203,294.54 and 83,652.48

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Solution

The fourth proportional to 147,314.70, 203,294.54 and 83,652.48 is: 115,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314.70 : 203,294.54 = 83,652.48 : x
  2. Step 2: Convert to fraction form
    147,314.70/203,294.54 = 83,652.48/x
  3. Step 3: Cross multiply
    147,314.70x = 203,294.54 × 83,652.48
  4. Step 4: Simplify right side
    147,314.70x = 17,006,092,650.59
  5. Step 5: Solve for x
    x = 17,006,092,650.59/147,314.70
  6. Step 6: Final answer
    x = 115,440.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.