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Finding the Fourth Proportional to 214,801.84, 296,534.28 and 134,274.16

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Solution

The fourth proportional to 214,801.84, 296,534.28 and 134,274.16 is: 185,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,801.84 : 296,534.28 = 134,274.16 : x
  2. Step 2: Convert to fraction form
    214,801.84/296,534.28 = 134,274.16/x
  3. Step 3: Cross multiply
    214,801.84x = 296,534.28 × 134,274.16
  4. Step 4: Simplify right side
    214,801.84x = 39,816,891,358.20
  5. Step 5: Solve for x
    x = 39,816,891,358.20/214,801.84
  6. Step 6: Final answer
    x = 185,365.69

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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.