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Finding the Fourth Proportional to 185,709.65, 278,459.91 and 59,320.19

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Solution

The fourth proportional to 185,709.65, 278,459.91 and 59,320.19 is: 88,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,709.65 : 278,459.91 = 59,320.19 : x
  2. Step 2: Convert to fraction form
    185,709.65/278,459.91 = 59,320.19/x
  3. Step 3: Cross multiply
    185,709.65x = 278,459.91 × 59,320.19
  4. Step 4: Simplify right side
    185,709.65x = 16,518,295,464.73
  5. Step 5: Solve for x
    x = 16,518,295,464.73/185,709.65
  6. Step 6: Final answer
    x = 88,946.89

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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.