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Finding the Fourth Proportional to 283,415.10, 391,130.52 and 156,090.66

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Solution

The fourth proportional to 283,415.10, 391,130.52 and 156,090.66 is: 215,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,415.10 : 391,130.52 = 156,090.66 : x
  2. Step 2: Convert to fraction form
    283,415.10/391,130.52 = 156,090.66/x
  3. Step 3: Cross multiply
    283,415.10x = 391,130.52 × 156,090.66
  4. Step 4: Simplify right side
    283,415.10x = 61,051,821,012.94
  5. Step 5: Solve for x
    x = 61,051,821,012.94/283,415.10
  6. Step 6: Final answer
    x = 215,414.85

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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.