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Finding the Fourth Proportional to 193,567.98, 290,462.40 and 75,223.92

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Solution

The fourth proportional to 193,567.98, 290,462.40 and 75,223.92 is: 112,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,567.98 : 290,462.40 = 75,223.92 : x
  2. Step 2: Convert to fraction form
    193,567.98/290,462.40 = 75,223.92/x
  3. Step 3: Cross multiply
    193,567.98x = 290,462.40 × 75,223.92
  4. Step 4: Simplify right side
    193,567.98x = 21,849,720,340.61
  5. Step 5: Solve for x
    x = 21,849,720,340.61/193,567.98
  6. Step 6: Final answer
    x = 112,878.80

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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.