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Finding the Fourth Proportional to 310,625.86, 465,988.10 and 100,214.59

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Solution

The fourth proportional to 310,625.86, 465,988.10 and 100,214.59 is: 150,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,625.86 : 465,988.10 = 100,214.59 : x
  2. Step 2: Convert to fraction form
    310,625.86/465,988.10 = 100,214.59/x
  3. Step 3: Cross multiply
    310,625.86x = 465,988.10 × 100,214.59
  4. Step 4: Simplify right side
    310,625.86x = 46,698,806,386.38
  5. Step 5: Solve for x
    x = 46,698,806,386.38/310,625.86
  6. Step 6: Final answer
    x = 150,337.79

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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.