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Finding the Fourth Proportional to 206,740.32, 285,279.40 and 116,106.16

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Solution

The fourth proportional to 206,740.32, 285,279.40 and 116,106.16 is: 160,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,740.32 : 285,279.40 = 116,106.16 : x
  2. Step 2: Convert to fraction form
    206,740.32/285,279.40 = 116,106.16/x
  3. Step 3: Cross multiply
    206,740.32x = 285,279.40 × 116,106.16
  4. Step 4: Simplify right side
    206,740.32x = 33,122,695,661.10
  5. Step 5: Solve for x
    x = 33,122,695,661.10/206,740.32
  6. Step 6: Final answer
    x = 160,214.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.