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Finding the Fourth Proportional to 114,275.88, 157,648.38 and 74,002.61

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Solution

The fourth proportional to 114,275.88, 157,648.38 and 74,002.61 is: 102,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,275.88 : 157,648.38 = 74,002.61 : x
  2. Step 2: Convert to fraction form
    114,275.88/157,648.38 = 74,002.61/x
  3. Step 3: Cross multiply
    114,275.88x = 157,648.38 × 74,002.61
  4. Step 4: Simplify right side
    114,275.88x = 11,666,391,582.27
  5. Step 5: Solve for x
    x = 11,666,391,582.27/114,275.88
  6. Step 6: Final answer
    x = 102,089.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.