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Finding the Fourth Proportional to 214,596.18, 296,074.17 and 123,940.17

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Solution

The fourth proportional to 214,596.18, 296,074.17 and 123,940.17 is: 170,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,596.18 : 296,074.17 = 123,940.17 : x
  2. Step 2: Convert to fraction form
    214,596.18/296,074.17 = 123,940.17/x
  3. Step 3: Cross multiply
    214,596.18x = 296,074.17 × 123,940.17
  4. Step 4: Simplify right side
    214,596.18x = 36,695,482,962.41
  5. Step 5: Solve for x
    x = 36,695,482,962.41/214,596.18
  6. Step 6: Final answer
    x = 170,997.84

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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.