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Finding the Fourth Proportional to 381,095.56, 571,643.58 and 96,807.46

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Solution

The fourth proportional to 381,095.56, 571,643.58 and 96,807.46 is: 145,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,095.56 : 571,643.58 = 96,807.46 : x
  2. Step 2: Convert to fraction form
    381,095.56/571,643.58 = 96,807.46/x
  3. Step 3: Cross multiply
    381,095.56x = 571,643.58 × 96,807.46
  4. Step 4: Simplify right side
    381,095.56x = 55,339,363,005.11
  5. Step 5: Solve for x
    x = 55,339,363,005.11/381,095.56
  6. Step 6: Final answer
    x = 145,211.25

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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.