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Finding the Fourth Proportional to 142,342.60, 213,368.10 and 83,147.80

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Solution

The fourth proportional to 142,342.60, 213,368.10 and 83,147.80 is: 124,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,342.60 : 213,368.10 = 83,147.80 : x
  2. Step 2: Convert to fraction form
    142,342.60/213,368.10 = 83,147.80/x
  3. Step 3: Cross multiply
    142,342.60x = 213,368.10 × 83,147.80
  4. Step 4: Simplify right side
    142,342.60x = 17,741,088,105.18
  5. Step 5: Solve for x
    x = 17,741,088,105.18/142,342.60
  6. Step 6: Final answer
    x = 124,636.53

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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.