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Finding the Fourth Proportional to 147,956.68, 221,956.08 and 48,084.76

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Solution

The fourth proportional to 147,956.68, 221,956.08 and 48,084.76 is: 72,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,956.68 : 221,956.08 = 48,084.76 : x
  2. Step 2: Convert to fraction form
    147,956.68/221,956.08 = 48,084.76/x
  3. Step 3: Cross multiply
    147,956.68x = 221,956.08 × 48,084.76
  4. Step 4: Simplify right side
    147,956.68x = 10,672,704,837.34
  5. Step 5: Solve for x
    x = 10,672,704,837.34/147,956.68
  6. Step 6: Final answer
    x = 72,133.98

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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.