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Finding the Fourth Proportional to 178,782.30, 268,103.04 and 64,902.96

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Solution

The fourth proportional to 178,782.30, 268,103.04 and 64,902.96 is: 97,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,782.30 : 268,103.04 = 64,902.96 : x
  2. Step 2: Convert to fraction form
    178,782.30/268,103.04 = 64,902.96/x
  3. Step 3: Cross multiply
    178,782.30x = 268,103.04 × 64,902.96
  4. Step 4: Simplify right side
    178,782.30x = 17,400,680,881.00
  5. Step 5: Solve for x
    x = 17,400,680,881.00/178,782.30
  6. Step 6: Final answer
    x = 97,328.88

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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.