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Finding the Fourth Proportional to 215,872.95, 297,904.98 and 119,074.65

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Solution

The fourth proportional to 215,872.95, 297,904.98 and 119,074.65 is: 164,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.95 : 297,904.98 = 119,074.65 : x
  2. Step 2: Convert to fraction form
    215,872.95/297,904.98 = 119,074.65/x
  3. Step 3: Cross multiply
    215,872.95x = 297,904.98 × 119,074.65
  4. Step 4: Simplify right side
    215,872.95x = 35,472,931,226.76
  5. Step 5: Solve for x
    x = 35,472,931,226.76/215,872.95
  6. Step 6: Final answer
    x = 164,323.19

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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.