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Finding the Fourth Proportional to 255,616.40, 352,751.82 and 146,711.90

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Solution

The fourth proportional to 255,616.40, 352,751.82 and 146,711.90 is: 202,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,616.40 : 352,751.82 = 146,711.90 : x
  2. Step 2: Convert to fraction form
    255,616.40/352,751.82 = 146,711.90/x
  3. Step 3: Cross multiply
    255,616.40x = 352,751.82 × 146,711.90
  4. Step 4: Simplify right side
    255,616.40x = 51,752,889,740.66
  5. Step 5: Solve for x
    x = 51,752,889,740.66/255,616.40
  6. Step 6: Final answer
    x = 202,463.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.