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Finding the Fourth Proportional to 214,624.80, 296,288.80 and 134,097.02

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Solution

The fourth proportional to 214,624.80, 296,288.80 and 134,097.02 is: 185,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,624.80 : 296,288.80 = 134,097.02 : x
  2. Step 2: Convert to fraction form
    214,624.80/296,288.80 = 134,097.02/x
  3. Step 3: Cross multiply
    214,624.80x = 296,288.80 × 134,097.02
  4. Step 4: Simplify right side
    214,624.80x = 39,731,445,139.38
  5. Step 5: Solve for x
    x = 39,731,445,139.38/214,624.80
  6. Step 6: Final answer
    x = 185,120.48

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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.