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Finding the Fourth Proportional to 214,515.85, 296,074.95 and 123,886.57

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Solution

The fourth proportional to 214,515.85, 296,074.95 and 123,886.57 is: 170,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,515.85 : 296,074.95 = 123,886.57 : x
  2. Step 2: Convert to fraction form
    214,515.85/296,074.95 = 123,886.57/x
  3. Step 3: Cross multiply
    214,515.85x = 296,074.95 × 123,886.57
  4. Step 4: Simplify right side
    214,515.85x = 36,679,710,018.42
  5. Step 5: Solve for x
    x = 36,679,710,018.42/214,515.85
  6. Step 6: Final answer
    x = 170,988.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.