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Finding the Fourth Proportional to 210,217.40, 315,138.55 and 77,066.55

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Solution

The fourth proportional to 210,217.40, 315,138.55 and 77,066.55 is: 115,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,217.40 : 315,138.55 = 77,066.55 : x
  2. Step 2: Convert to fraction form
    210,217.40/315,138.55 = 77,066.55/x
  3. Step 3: Cross multiply
    210,217.40x = 315,138.55 × 77,066.55
  4. Step 4: Simplify right side
    210,217.40x = 24,286,640,820.50
  5. Step 5: Solve for x
    x = 24,286,640,820.50/210,217.40
  6. Step 6: Final answer
    x = 115,531.07

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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.