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Finding the Fourth Proportional to 304,805.52, 457,210.98 and 83,189.52

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Solution

The fourth proportional to 304,805.52, 457,210.98 and 83,189.52 is: 124,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,805.52 : 457,210.98 = 83,189.52 : x
  2. Step 2: Convert to fraction form
    304,805.52/457,210.98 = 83,189.52/x
  3. Step 3: Cross multiply
    304,805.52x = 457,210.98 × 83,189.52
  4. Step 4: Simplify right side
    304,805.52x = 38,035,161,964.93
  5. Step 5: Solve for x
    x = 38,035,161,964.93/304,805.52
  6. Step 6: Final answer
    x = 124,785.02

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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.