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Finding the Fourth Proportional to 213,304.32, 319,952.16 and 55,529.28

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Solution

The fourth proportional to 213,304.32, 319,952.16 and 55,529.28 is: 83,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,304.32 : 319,952.16 = 55,529.28 : x
  2. Step 2: Convert to fraction form
    213,304.32/319,952.16 = 55,529.28/x
  3. Step 3: Cross multiply
    213,304.32x = 319,952.16 × 55,529.28
  4. Step 4: Simplify right side
    213,304.32x = 17,766,713,079.24
  5. Step 5: Solve for x
    x = 17,766,713,079.24/213,304.32
  6. Step 6: Final answer
    x = 83,292.80

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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.