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Finding the Fourth Proportional to 214,575.85, 296,084.43 and 128,514.68

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Solution

The fourth proportional to 214,575.85, 296,084.43 and 128,514.68 is: 177,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,575.85 : 296,084.43 = 128,514.68 : x
  2. Step 2: Convert to fraction form
    214,575.85/296,084.43 = 128,514.68/x
  3. Step 3: Cross multiply
    214,575.85x = 296,084.43 × 128,514.68
  4. Step 4: Simplify right side
    214,575.85x = 38,051,194,294.01
  5. Step 5: Solve for x
    x = 38,051,194,294.01/214,575.85
  6. Step 6: Final answer
    x = 177,332.14

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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.