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Finding the Fourth Proportional to 153,019.73, 211,163.03 and 85,034.96

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Solution

The fourth proportional to 153,019.73, 211,163.03 and 85,034.96 is: 117,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,019.73 : 211,163.03 = 85,034.96 : x
  2. Step 2: Convert to fraction form
    153,019.73/211,163.03 = 85,034.96/x
  3. Step 3: Cross multiply
    153,019.73x = 211,163.03 × 85,034.96
  4. Step 4: Simplify right side
    153,019.73x = 17,956,240,387.91
  5. Step 5: Solve for x
    x = 17,956,240,387.91/153,019.73
  6. Step 6: Final answer
    x = 117,345.91

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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.