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Finding the Fourth Proportional to 215,833.04, 297,853.29 and 119,048.01

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Solution

The fourth proportional to 215,833.04, 297,853.29 and 119,048.01 is: 164,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833.04 : 297,853.29 = 119,048.01 : x
  2. Step 2: Convert to fraction form
    215,833.04/297,853.29 = 119,048.01/x
  3. Step 3: Cross multiply
    215,833.04x = 297,853.29 × 119,048.01
  4. Step 4: Simplify right side
    215,833.04x = 35,458,841,446.45
  5. Step 5: Solve for x
    x = 35,458,841,446.45/215,833.04
  6. Step 6: Final answer
    x = 164,288.30

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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.