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Finding the Fourth Proportional to 250,098, 375,104.63 and 70,142.07

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Solution

The fourth proportional to 250,098, 375,104.63 and 70,142.07 is: 105,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,098 : 375,104.63 = 70,142.07 : x
  2. Step 2: Convert to fraction form
    250,098/375,104.63 = 70,142.07/x
  3. Step 3: Cross multiply
    250,098x = 375,104.63 × 70,142.07
  4. Step 4: Simplify right side
    250,098x = 26,310,614,864.07
  5. Step 5: Solve for x
    x = 26,310,614,864.07/250,098
  6. Step 6: Final answer
    x = 105,201.22

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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.