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Finding the Fourth Proportional to 158,641.76, 237,878.88 and 83,802.08

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Solution

The fourth proportional to 158,641.76, 237,878.88 and 83,802.08 is: 125,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,641.76 : 237,878.88 = 83,802.08 : x
  2. Step 2: Convert to fraction form
    158,641.76/237,878.88 = 83,802.08/x
  3. Step 3: Cross multiply
    158,641.76x = 237,878.88 × 83,802.08
  4. Step 4: Simplify right side
    158,641.76x = 19,934,744,932.07
  5. Step 5: Solve for x
    x = 19,934,744,932.07/158,641.76
  6. Step 6: Final answer
    x = 125,658.87

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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.