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Finding the Fourth Proportional to 127,348.80, 191,023.20 and 97,824.30

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Solution

The fourth proportional to 127,348.80, 191,023.20 and 97,824.30 is: 146,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,348.80 : 191,023.20 = 97,824.30 : x
  2. Step 2: Convert to fraction form
    127,348.80/191,023.20 = 97,824.30/x
  3. Step 3: Cross multiply
    127,348.80x = 191,023.20 × 97,824.30
  4. Step 4: Simplify right side
    127,348.80x = 18,686,710,823.76
  5. Step 5: Solve for x
    x = 18,686,710,823.76/127,348.80
  6. Step 6: Final answer
    x = 146,736.45

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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.