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Finding the Fourth Proportional to 164,281.68, 226,708.56 and 88,830

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Solution

The fourth proportional to 164,281.68, 226,708.56 and 88,830 is: 122,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,281.68 : 226,708.56 = 88,830 : x
  2. Step 2: Convert to fraction form
    164,281.68/226,708.56 = 88,830/x
  3. Step 3: Cross multiply
    164,281.68x = 226,708.56 × 88,830
  4. Step 4: Simplify right side
    164,281.68x = 20,138,521,384.80
  5. Step 5: Solve for x
    x = 20,138,521,384.80/164,281.68
  6. Step 6: Final answer
    x = 122,585.31

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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.