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Finding the Fourth Proportional to 283,518, 391,254.84 and 156,193.56

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Solution

The fourth proportional to 283,518, 391,254.84 and 156,193.56 is: 215,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,518 : 391,254.84 = 156,193.56 : x
  2. Step 2: Convert to fraction form
    283,518/391,254.84 = 156,193.56/x
  3. Step 3: Cross multiply
    283,518x = 391,254.84 × 156,193.56
  4. Step 4: Simplify right side
    283,518x = 61,111,486,326.83
  5. Step 5: Solve for x
    x = 61,111,486,326.83/283,518
  6. Step 6: Final answer
    x = 215,547.11

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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.