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Finding the Fourth Proportional to 215,264.16, 297,037.80 and 119,764.08

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Solution

The fourth proportional to 215,264.16, 297,037.80 and 119,764.08 is: 165,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,264.16 : 297,037.80 = 119,764.08 : x
  2. Step 2: Convert to fraction form
    215,264.16/297,037.80 = 119,764.08/x
  3. Step 3: Cross multiply
    215,264.16x = 297,037.80 × 119,764.08
  4. Step 4: Simplify right side
    215,264.16x = 35,574,458,842.22
  5. Step 5: Solve for x
    x = 35,574,458,842.22/215,264.16
  6. Step 6: Final answer
    x = 165,259.55

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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.