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Finding the Fourth Proportional to 114,222.22, 157,627.02 and 61,834.20

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Solution

The fourth proportional to 114,222.22, 157,627.02 and 61,834.20 is: 85,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,222.22 : 157,627.02 = 61,834.20 : x
  2. Step 2: Convert to fraction form
    114,222.22/157,627.02 = 61,834.20/x
  3. Step 3: Cross multiply
    114,222.22x = 157,627.02 × 61,834.20
  4. Step 4: Simplify right side
    114,222.22x = 9,746,740,680.08
  5. Step 5: Solve for x
    x = 9,746,740,680.08/114,222.22
  6. Step 6: Final answer
    x = 85,331.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.