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Finding the Fourth Proportional to 185,506.47, 278,281.88 and 65,538.59

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Solution

The fourth proportional to 185,506.47, 278,281.88 and 65,538.59 is: 98,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,506.47 : 278,281.88 = 65,538.59 : x
  2. Step 2: Convert to fraction form
    185,506.47/278,281.88 = 65,538.59/x
  3. Step 3: Cross multiply
    185,506.47x = 278,281.88 × 65,538.59
  4. Step 4: Simplify right side
    185,506.47x = 18,238,200,318.65
  5. Step 5: Solve for x
    x = 18,238,200,318.65/185,506.47
  6. Step 6: Final answer
    x = 98,315.71

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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.