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Finding the Fourth Proportional to 111,523.50, 153,904.86 and 61,222.50

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Solution

The fourth proportional to 111,523.50, 153,904.86 and 61,222.50 is: 84,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,523.50 : 153,904.86 = 61,222.50 : x
  2. Step 2: Convert to fraction form
    111,523.50/153,904.86 = 61,222.50/x
  3. Step 3: Cross multiply
    111,523.50x = 153,904.86 × 61,222.50
  4. Step 4: Simplify right side
    111,523.50x = 9,422,440,291.35
  5. Step 5: Solve for x
    x = 9,422,440,291.35/111,523.50
  6. Step 6: Final answer
    x = 84,488.38

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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.