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Finding the Fourth Proportional to 214,956.59, 322,434.91 and 96,489.53

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Solution

The fourth proportional to 214,956.59, 322,434.91 and 96,489.53 is: 144,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,956.59 : 322,434.91 = 96,489.53 : x
  2. Step 2: Convert to fraction form
    214,956.59/322,434.91 = 96,489.53/x
  3. Step 3: Cross multiply
    214,956.59x = 322,434.91 × 96,489.53
  4. Step 4: Simplify right side
    214,956.59x = 31,111,592,639.06
  5. Step 5: Solve for x
    x = 31,111,592,639.06/214,956.59
  6. Step 6: Final answer
    x = 144,734.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.