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Finding the Fourth Proportional to 205,706.88, 283,780.80 and 142,133.76

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Solution

The fourth proportional to 205,706.88, 283,780.80 and 142,133.76 is: 196,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706.88 : 283,780.80 = 142,133.76 : x
  2. Step 2: Convert to fraction form
    205,706.88/283,780.80 = 142,133.76/x
  3. Step 3: Cross multiply
    205,706.88x = 283,780.80 × 142,133.76
  4. Step 4: Simplify right side
    205,706.88x = 40,334,832,119.81
  5. Step 5: Solve for x
    x = 40,334,832,119.81/205,706.88
  6. Step 6: Final answer
    x = 196,079.16

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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.