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Finding the Fourth Proportional to 283,886.64, 391,766.04 and 156,566.64

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Solution

The fourth proportional to 283,886.64, 391,766.04 and 156,566.64 is: 216,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,886.64 : 391,766.04 = 156,566.64 : x
  2. Step 2: Convert to fraction form
    283,886.64/391,766.04 = 156,566.64/x
  3. Step 3: Cross multiply
    283,886.64x = 391,766.04 × 156,566.64
  4. Step 4: Simplify right side
    283,886.64x = 61,337,492,548.91
  5. Step 5: Solve for x
    x = 61,337,492,548.91/283,886.64
  6. Step 6: Final answer
    x = 216,063.33

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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.