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Finding the Fourth Proportional to 164,799.32, 227,422.32 and 89,347.80

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Solution

The fourth proportional to 164,799.32, 227,422.32 and 89,347.80 is: 123,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,799.32 : 227,422.32 = 89,347.80 : x
  2. Step 2: Convert to fraction form
    164,799.32/227,422.32 = 89,347.80/x
  3. Step 3: Cross multiply
    164,799.32x = 227,422.32 × 89,347.80
  4. Step 4: Simplify right side
    164,799.32x = 20,319,683,962.90
  5. Step 5: Solve for x
    x = 20,319,683,962.90/164,799.32
  6. Step 6: Final answer
    x = 123,299.56

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1.5x scale

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.