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Finding the Fourth Proportional to 223,209.62, 334,814.40 and 98,525.78

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Solution

The fourth proportional to 223,209.62, 334,814.40 and 98,525.78 is: 147,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,209.62 : 334,814.40 = 98,525.78 : x
  2. Step 2: Convert to fraction form
    223,209.62/334,814.40 = 98,525.78/x
  3. Step 3: Cross multiply
    223,209.62x = 334,814.40 × 98,525.78
  4. Step 4: Simplify right side
    223,209.62x = 32,987,849,915.23
  5. Step 5: Solve for x
    x = 32,987,849,915.23/223,209.62
  6. Step 6: Final answer
    x = 147,788.66

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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.