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Finding the Fourth Proportional to 136,643.20, 205,402.20 and 97,471.60

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Solution

The fourth proportional to 136,643.20, 205,402.20 and 97,471.60 is: 146,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,643.20 : 205,402.20 = 97,471.60 : x
  2. Step 2: Convert to fraction form
    136,643.20/205,402.20 = 97,471.60/x
  3. Step 3: Cross multiply
    136,643.20x = 205,402.20 × 97,471.60
  4. Step 4: Simplify right side
    136,643.20x = 20,020,881,077.52
  5. Step 5: Solve for x
    x = 20,020,881,077.52/136,643.20
  6. Step 6: Final answer
    x = 146,519.41

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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.