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Finding the Fourth Proportional to 205,695.36, 283,885.88 and 115,056.36

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Solution

The fourth proportional to 205,695.36, 283,885.88 and 115,056.36 is: 158,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,695.36 : 283,885.88 = 115,056.36 : x
  2. Step 2: Convert to fraction form
    205,695.36/283,885.88 = 115,056.36/x
  3. Step 3: Cross multiply
    205,695.36x = 283,885.88 × 115,056.36
  4. Step 4: Simplify right side
    205,695.36x = 32,662,875,432.92
  5. Step 5: Solve for x
    x = 32,662,875,432.92/205,695.36
  6. Step 6: Final answer
    x = 158,792.48

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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.