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Finding the Fourth Proportional to 218,855.32, 328,282.98 and 52,643.32

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Solution

The fourth proportional to 218,855.32, 328,282.98 and 52,643.32 is: 78,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,855.32 : 328,282.98 = 52,643.32 : x
  2. Step 2: Convert to fraction form
    218,855.32/328,282.98 = 52,643.32/x
  3. Step 3: Cross multiply
    218,855.32x = 328,282.98 × 52,643.32
  4. Step 4: Simplify right side
    218,855.32x = 17,281,905,966.69
  5. Step 5: Solve for x
    x = 17,281,905,966.69/218,855.32
  6. Step 6: Final answer
    x = 78,964.98

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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.