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Finding the Fourth Proportional to 198,159.82, 297,177.28 and 65,009.05

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Solution

The fourth proportional to 198,159.82, 297,177.28 and 65,009.05 is: 97,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,159.82 : 297,177.28 = 65,009.05 : x
  2. Step 2: Convert to fraction form
    198,159.82/297,177.28 = 65,009.05/x
  3. Step 3: Cross multiply
    198,159.82x = 297,177.28 × 65,009.05
  4. Step 4: Simplify right side
    198,159.82x = 19,319,210,843.45
  5. Step 5: Solve for x
    x = 19,319,210,843.45/198,159.82
  6. Step 6: Final answer
    x = 97,493.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.