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Finding the Fourth Proportional to 265,223.84, 366,016.68 and 144,373

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Solution

The fourth proportional to 265,223.84, 366,016.68 and 144,373 is: 199,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,223.84 : 366,016.68 = 144,373 : x
  2. Step 2: Convert to fraction form
    265,223.84/366,016.68 = 144,373/x
  3. Step 3: Cross multiply
    265,223.84x = 366,016.68 × 144,373
  4. Step 4: Simplify right side
    265,223.84x = 52,842,926,141.64
  5. Step 5: Solve for x
    x = 52,842,926,141.64/265,223.84
  6. Step 6: Final answer
    x = 199,238.98

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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.