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Finding the Fourth Proportional to 214,989.52, 296,818.32 and 138,535.60

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Solution

The fourth proportional to 214,989.52, 296,818.32 and 138,535.60 is: 191,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,989.52 : 296,818.32 = 138,535.60 : x
  2. Step 2: Convert to fraction form
    214,989.52/296,818.32 = 138,535.60/x
  3. Step 3: Cross multiply
    214,989.52x = 296,818.32 × 138,535.60
  4. Step 4: Simplify right side
    214,989.52x = 41,119,904,052.19
  5. Step 5: Solve for x
    x = 41,119,904,052.19/214,989.52
  6. Step 6: Final answer
    x = 191,264.69

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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.