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Finding the Fourth Proportional to 114,658.60, 171,642.30 and 100,834.60

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Solution

The fourth proportional to 114,658.60, 171,642.30 and 100,834.60 is: 150,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658.60 : 171,642.30 = 100,834.60 : x
  2. Step 2: Convert to fraction form
    114,658.60/171,642.30 = 100,834.60/x
  3. Step 3: Cross multiply
    114,658.60x = 171,642.30 × 100,834.60
  4. Step 4: Simplify right side
    114,658.60x = 17,307,482,663.58
  5. Step 5: Solve for x
    x = 17,307,482,663.58/114,658.60
  6. Step 6: Final answer
    x = 150,947.97

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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.