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Finding the Fourth Proportional to 158,140.92, 237,162.60 and 83,220.42

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Solution

The fourth proportional to 158,140.92, 237,162.60 and 83,220.42 is: 124,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,140.92 : 237,162.60 = 83,220.42 : x
  2. Step 2: Convert to fraction form
    158,140.92/237,162.60 = 83,220.42/x
  3. Step 3: Cross multiply
    158,140.92x = 237,162.60 × 83,220.42
  4. Step 4: Simplify right side
    158,140.92x = 19,736,771,180.29
  5. Step 5: Solve for x
    x = 19,736,771,180.29/158,140.92
  6. Step 6: Final answer
    x = 124,804.96

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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.