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Finding the Fourth Proportional to 153,608, 211,979.04 and 82,952

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Solution

The fourth proportional to 153,608, 211,979.04 and 82,952 is: 114,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,608 : 211,979.04 = 82,952 : x
  2. Step 2: Convert to fraction form
    153,608/211,979.04 = 82,952/x
  3. Step 3: Cross multiply
    153,608x = 211,979.04 × 82,952
  4. Step 4: Simplify right side
    153,608x = 17,584,085,326.08
  5. Step 5: Solve for x
    x = 17,584,085,326.08/153,608
  6. Step 6: Final answer
    x = 114,473.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.