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Finding the Fourth Proportional to 179,146.96, 268,824.28 and 90,407.40

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Solution

The fourth proportional to 179,146.96, 268,824.28 and 90,407.40 is: 135,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,146.96 : 268,824.28 = 90,407.40 : x
  2. Step 2: Convert to fraction form
    179,146.96/268,824.28 = 90,407.40/x
  3. Step 3: Cross multiply
    179,146.96x = 268,824.28 × 90,407.40
  4. Step 4: Simplify right side
    179,146.96x = 24,303,704,211.67
  5. Step 5: Solve for x
    x = 24,303,704,211.67/179,146.96
  6. Step 6: Final answer
    x = 135,663.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.