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Finding the Fourth Proportional to 205,064.32, 283,040.32 and 115,692.16

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Solution

The fourth proportional to 205,064.32, 283,040.32 and 115,692.16 is: 159,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,064.32 : 283,040.32 = 115,692.16 : x
  2. Step 2: Convert to fraction form
    205,064.32/283,040.32 = 115,692.16/x
  3. Step 3: Cross multiply
    205,064.32x = 283,040.32 × 115,692.16
  4. Step 4: Simplify right side
    205,064.32x = 32,745,545,987.89
  5. Step 5: Solve for x
    x = 32,745,545,987.89/205,064.32
  6. Step 6: Final answer
    x = 159,684.27

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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.