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Finding the Fourth Proportional to 185,854.65, 278,792.52 and 52,724.46

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Solution

The fourth proportional to 185,854.65, 278,792.52 and 52,724.46 is: 79,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,854.65 : 278,792.52 = 52,724.46 : x
  2. Step 2: Convert to fraction form
    185,854.65/278,792.52 = 52,724.46/x
  3. Step 3: Cross multiply
    185,854.65x = 278,792.52 × 52,724.46
  4. Step 4: Simplify right side
    185,854.65x = 14,699,185,069.04
  5. Step 5: Solve for x
    x = 14,699,185,069.04/185,854.65
  6. Step 6: Final answer
    x = 79,089.68

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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.