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Finding the Fourth Proportional to 206,952, 285,594.12 and 117,528

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Solution

The fourth proportional to 206,952, 285,594.12 and 117,528 is: 162,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952 : 285,594.12 = 117,528 : x
  2. Step 2: Convert to fraction form
    206,952/285,594.12 = 117,528/x
  3. Step 3: Cross multiply
    206,952x = 285,594.12 × 117,528
  4. Step 4: Simplify right side
    206,952x = 33,565,305,735.36
  5. Step 5: Solve for x
    x = 33,565,305,735.36/206,952
  6. Step 6: Final answer
    x = 162,188.84

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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.