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Finding the Fourth Proportional to 210,514.38, 290,506.45 and 115,019.02

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Solution

The fourth proportional to 210,514.38, 290,506.45 and 115,019.02 is: 158,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,514.38 : 290,506.45 = 115,019.02 : x
  2. Step 2: Convert to fraction form
    210,514.38/290,506.45 = 115,019.02/x
  3. Step 3: Cross multiply
    210,514.38x = 290,506.45 × 115,019.02
  4. Step 4: Simplify right side
    210,514.38x = 33,413,767,473.93
  5. Step 5: Solve for x
    x = 33,413,767,473.93/210,514.38
  6. Step 6: Final answer
    x = 158,724.40

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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.