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Finding the Fourth Proportional to 162,152.88, 223,768.80 and 90,534

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Solution

The fourth proportional to 162,152.88, 223,768.80 and 90,534 is: 124,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,152.88 : 223,768.80 = 90,534 : x
  2. Step 2: Convert to fraction form
    162,152.88/223,768.80 = 90,534/x
  3. Step 3: Cross multiply
    162,152.88x = 223,768.80 × 90,534
  4. Step 4: Simplify right side
    162,152.88x = 20,258,684,539.20
  5. Step 5: Solve for x
    x = 20,258,684,539.20/162,152.88
  6. Step 6: Final answer
    x = 124,935.71

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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.