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Finding the Fourth Proportional to 227,856.95, 341,574.12 and 78,061.64

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Solution

The fourth proportional to 227,856.95, 341,574.12 and 78,061.64 is: 117,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,856.95 : 341,574.12 = 78,061.64 : x
  2. Step 2: Convert to fraction form
    227,856.95/341,574.12 = 78,061.64/x
  3. Step 3: Cross multiply
    227,856.95x = 341,574.12 × 78,061.64
  4. Step 4: Simplify right side
    227,856.95x = 26,663,834,280.89
  5. Step 5: Solve for x
    x = 26,663,834,280.89/227,856.95
  6. Step 6: Final answer
    x = 117,020.06

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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.