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Finding the Fourth Proportional to 243,632.90, 365,488.77 and 75,113.82

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Solution

The fourth proportional to 243,632.90, 365,488.77 and 75,113.82 is: 112,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,632.90 : 365,488.77 = 75,113.82 : x
  2. Step 2: Convert to fraction form
    243,632.90/365,488.77 = 75,113.82/x
  3. Step 3: Cross multiply
    243,632.90x = 365,488.77 × 75,113.82
  4. Step 4: Simplify right side
    243,632.90x = 27,453,257,681.80
  5. Step 5: Solve for x
    x = 27,453,257,681.80/243,632.90
  6. Step 6: Final answer
    x = 112,682.89

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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.