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Finding the Fourth Proportional to 543,140.08, 814,515.72 and 188,058.76

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Solution

The fourth proportional to 543,140.08, 814,515.72 and 188,058.76 is: 282,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,140.08 : 814,515.72 = 188,058.76 : x
  2. Step 2: Convert to fraction form
    543,140.08/814,515.72 = 188,058.76/x
  3. Step 3: Cross multiply
    543,140.08x = 814,515.72 × 188,058.76
  4. Step 4: Simplify right side
    543,140.08x = 153,176,816,303.71
  5. Step 5: Solve for x
    x = 153,176,816,303.71/543,140.08
  6. Step 6: Final answer
    x = 282,020.83

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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.