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Finding the Fourth Proportional to 142,389.60, 213,438.60 and 83,194.80

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Solution

The fourth proportional to 142,389.60, 213,438.60 and 83,194.80 is: 124,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,389.60 : 213,438.60 = 83,194.80 : x
  2. Step 2: Convert to fraction form
    142,389.60/213,438.60 = 83,194.80/x
  3. Step 3: Cross multiply
    142,389.60x = 213,438.60 × 83,194.80
  4. Step 4: Simplify right side
    142,389.60x = 17,756,981,639.28
  5. Step 5: Solve for x
    x = 17,756,981,639.28/142,389.60
  6. Step 6: Final answer
    x = 124,707.01

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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.