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Finding the Fourth Proportional to 119,221.47, 178,859.88 and 34,978.23

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Solution

The fourth proportional to 119,221.47, 178,859.88 and 34,978.23 is: 52,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,221.47 : 178,859.88 = 34,978.23 : x
  2. Step 2: Convert to fraction form
    119,221.47/178,859.88 = 34,978.23/x
  3. Step 3: Cross multiply
    119,221.47x = 178,859.88 × 34,978.23
  4. Step 4: Simplify right side
    119,221.47x = 6,256,202,020.41
  5. Step 5: Solve for x
    x = 6,256,202,020.41/119,221.47
  6. Step 6: Final answer
    x = 52,475.46

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1.5x scale

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.