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Finding the Fourth Proportional to 211,523.32, 317,286.06 and 71,283.16

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Solution

The fourth proportional to 211,523.32, 317,286.06 and 71,283.16 is: 106,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,523.32 : 317,286.06 = 71,283.16 : x
  2. Step 2: Convert to fraction form
    211,523.32/317,286.06 = 71,283.16/x
  3. Step 3: Cross multiply
    211,523.32x = 317,286.06 × 71,283.16
  4. Step 4: Simplify right side
    211,523.32x = 22,617,152,980.75
  5. Step 5: Solve for x
    x = 22,617,152,980.75/211,523.32
  6. Step 6: Final answer
    x = 106,925.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.