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Finding the Fourth Proportional to 185,842.93, 278,784.66 and 59,453.47

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Solution

The fourth proportional to 185,842.93, 278,784.66 and 59,453.47 is: 89,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,842.93 : 278,784.66 = 59,453.47 : x
  2. Step 2: Convert to fraction form
    185,842.93/278,784.66 = 59,453.47/x
  3. Step 3: Cross multiply
    185,842.93x = 278,784.66 × 59,453.47
  4. Step 4: Simplify right side
    185,842.93x = 16,574,715,039.91
  5. Step 5: Solve for x
    x = 16,574,715,039.91/185,842.93
  6. Step 6: Final answer
    x = 89,186.68

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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.