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Finding the Fourth Proportional to 176,042.86, 242,934.87 and 100,586.50

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Solution

The fourth proportional to 176,042.86, 242,934.87 and 100,586.50 is: 138,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,042.86 : 242,934.87 = 100,586.50 : x
  2. Step 2: Convert to fraction form
    176,042.86/242,934.87 = 100,586.50/x
  3. Step 3: Cross multiply
    176,042.86x = 242,934.87 × 100,586.50
  4. Step 4: Simplify right side
    176,042.86x = 24,435,968,301.26
  5. Step 5: Solve for x
    x = 24,435,968,301.26/176,042.86
  6. Step 6: Final answer
    x = 138,806.93

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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.