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Finding the Fourth Proportional to 111,829.50, 154,324.71 and 61,528.50

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Solution

The fourth proportional to 111,829.50, 154,324.71 and 61,528.50 is: 84,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,829.50 : 154,324.71 = 61,528.50 : x
  2. Step 2: Convert to fraction form
    111,829.50/154,324.71 = 61,528.50/x
  3. Step 3: Cross multiply
    111,829.50x = 154,324.71 × 61,528.50
  4. Step 4: Simplify right side
    111,829.50x = 9,495,367,919.24
  5. Step 5: Solve for x
    x = 9,495,367,919.24/111,829.50
  6. Step 6: Final answer
    x = 84,909.33

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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.