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Finding the Fourth Proportional to 218,005.84, 300,838.38 and 127,370.20

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Solution

The fourth proportional to 218,005.84, 300,838.38 and 127,370.20 is: 175,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,005.84 : 300,838.38 = 127,370.20 : x
  2. Step 2: Convert to fraction form
    218,005.84/300,838.38 = 127,370.20/x
  3. Step 3: Cross multiply
    218,005.84x = 300,838.38 × 127,370.20
  4. Step 4: Simplify right side
    218,005.84x = 38,317,844,628.28
  5. Step 5: Solve for x
    x = 38,317,844,628.28/218,005.84
  6. Step 6: Final answer
    x = 175,765.22

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1.5x scale

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.