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Finding the Fourth Proportional to 250,526.16, 375,784.91 and 84,314.16

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Solution

The fourth proportional to 250,526.16, 375,784.91 and 84,314.16 is: 126,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,526.16 : 375,784.91 = 84,314.16 : x
  2. Step 2: Convert to fraction form
    250,526.16/375,784.91 = 84,314.16/x
  3. Step 3: Cross multiply
    250,526.16x = 375,784.91 × 84,314.16
  4. Step 4: Simplify right side
    250,526.16x = 31,683,989,027.33
  5. Step 5: Solve for x
    x = 31,683,989,027.33/250,526.16
  6. Step 6: Final answer
    x = 126,469.78

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Why These Related Problems?

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