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Finding the Fourth Proportional to 178,967.31, 268,444.78 and 45,848.87

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Solution

The fourth proportional to 178,967.31, 268,444.78 and 45,848.87 is: 68,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,967.31 : 268,444.78 = 45,848.87 : x
  2. Step 2: Convert to fraction form
    178,967.31/268,444.78 = 45,848.87/x
  3. Step 3: Cross multiply
    178,967.31x = 268,444.78 × 45,848.87
  4. Step 4: Simplify right side
    178,967.31x = 12,307,889,628.12
  5. Step 5: Solve for x
    x = 12,307,889,628.12/178,967.31
  6. Step 6: Final answer
    x = 68,771.72

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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.