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Finding the Fourth Proportional to 296,155.50, 408,694.86 and 162,019.50

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Solution

The fourth proportional to 296,155.50, 408,694.86 and 162,019.50 is: 223,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,155.50 : 408,694.86 = 162,019.50 : x
  2. Step 2: Convert to fraction form
    296,155.50/408,694.86 = 162,019.50/x
  3. Step 3: Cross multiply
    296,155.50x = 408,694.86 × 162,019.50
  4. Step 4: Simplify right side
    296,155.50x = 66,216,536,869.77
  5. Step 5: Solve for x
    x = 66,216,536,869.77/296,155.50
  6. Step 6: Final answer
    x = 223,587.06

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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.