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Finding the Fourth Proportional to 158,047.70, 237,071.55 and 83,138.90

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Solution

The fourth proportional to 158,047.70, 237,071.55 and 83,138.90 is: 124,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,047.70 : 237,071.55 = 83,138.90 : x
  2. Step 2: Convert to fraction form
    158,047.70/237,071.55 = 83,138.90/x
  3. Step 3: Cross multiply
    158,047.70x = 237,071.55 × 83,138.90
  4. Step 4: Simplify right side
    158,047.70x = 19,709,867,888.30
  5. Step 5: Solve for x
    x = 19,709,867,888.30/158,047.70
  6. Step 6: Final answer
    x = 124,708.35

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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.