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Finding the Fourth Proportional to 208,387.68, 312,595.92 and 83,728.80

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Solution

The fourth proportional to 208,387.68, 312,595.92 and 83,728.80 is: 125,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,387.68 : 312,595.92 = 83,728.80 : x
  2. Step 2: Convert to fraction form
    208,387.68/312,595.92 = 83,728.80/x
  3. Step 3: Cross multiply
    208,387.68x = 312,595.92 × 83,728.80
  4. Step 4: Simplify right side
    208,387.68x = 26,173,281,266.50
  5. Step 5: Solve for x
    x = 26,173,281,266.50/208,387.68
  6. Step 6: Final answer
    x = 125,598.99

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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.