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Finding the Fourth Proportional to 285,085.36, 427,507.56 and 85,434.16

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Solution

The fourth proportional to 285,085.36, 427,507.56 and 85,434.16 is: 128,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,085.36 : 427,507.56 = 85,434.16 : x
  2. Step 2: Convert to fraction form
    285,085.36/427,507.56 = 85,434.16/x
  3. Step 3: Cross multiply
    285,085.36x = 427,507.56 × 85,434.16
  4. Step 4: Simplify right side
    285,085.36x = 36,523,749,282.25
  5. Step 5: Solve for x
    x = 36,523,749,282.25/285,085.36
  6. Step 6: Final answer
    x = 128,115.13

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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.