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Finding the Fourth Proportional to 176,041.26, 242,913.60 and 99,570.78

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Solution

The fourth proportional to 176,041.26, 242,913.60 and 99,570.78 is: 137,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,041.26 : 242,913.60 = 99,570.78 : x
  2. Step 2: Convert to fraction form
    176,041.26/242,913.60 = 99,570.78/x
  3. Step 3: Cross multiply
    176,041.26x = 242,913.60 × 99,570.78
  4. Step 4: Simplify right side
    176,041.26x = 24,187,096,624.61
  5. Step 5: Solve for x
    x = 24,187,096,624.61/176,041.26
  6. Step 6: Final answer
    x = 137,394.48

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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.