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Finding the Fourth Proportional to 214,012.98, 295,337.34 and 123,368.44

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Solution

The fourth proportional to 214,012.98, 295,337.34 and 123,368.44 is: 170,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,012.98 : 295,337.34 = 123,368.44 : x
  2. Step 2: Convert to fraction form
    214,012.98/295,337.34 = 123,368.44/x
  3. Step 3: Cross multiply
    214,012.98x = 295,337.34 × 123,368.44
  4. Step 4: Simplify right side
    214,012.98x = 36,435,306,909.55
  5. Step 5: Solve for x
    x = 36,435,306,909.55/214,012.98
  6. Step 6: Final answer
    x = 170,248.12

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1.5x scale

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.