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Finding the Fourth Proportional to 164,924, 227,592.96 and 89,475.20

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Solution

The fourth proportional to 164,924, 227,592.96 and 89,475.20 is: 123,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,924 : 227,592.96 = 89,475.20 : x
  2. Step 2: Convert to fraction form
    164,924/227,592.96 = 89,475.20/x
  3. Step 3: Cross multiply
    164,924x = 227,592.96 × 89,475.20
  4. Step 4: Simplify right side
    164,924x = 20,363,925,614.59
  5. Step 5: Solve for x
    x = 20,363,925,614.59/164,924
  6. Step 6: Final answer
    x = 123,474.60

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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.