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Finding the Fourth Proportional to 265,856.02, 366,871.17 and 146,624.02

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Solution

The fourth proportional to 265,856.02, 366,871.17 and 146,624.02 is: 202,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,856.02 : 366,871.17 = 146,624.02 : x
  2. Step 2: Convert to fraction form
    265,856.02/366,871.17 = 146,624.02/x
  3. Step 3: Cross multiply
    265,856.02x = 366,871.17 × 146,624.02
  4. Step 4: Simplify right side
    265,856.02x = 53,792,125,767.50
  5. Step 5: Solve for x
    x = 53,792,125,767.50/265,856.02
  6. Step 6: Final answer
    x = 202,335.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.