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Finding the Fourth Proportional to 185,894.76, 278,841.54 and 52,775.10

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Solution

The fourth proportional to 185,894.76, 278,841.54 and 52,775.10 is: 79,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,894.76 : 278,841.54 = 52,775.10 : x
  2. Step 2: Convert to fraction form
    185,894.76/278,841.54 = 52,775.10/x
  3. Step 3: Cross multiply
    185,894.76x = 278,841.54 × 52,775.10
  4. Step 4: Simplify right side
    185,894.76x = 14,715,890,157.65
  5. Step 5: Solve for x
    x = 14,715,890,157.65/185,894.76
  6. Step 6: Final answer
    x = 79,162.48

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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.