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Finding the Fourth Proportional to 122,570.30, 183,724.65 and 69,866.30

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Solution

The fourth proportional to 122,570.30, 183,724.65 and 69,866.30 is: 104,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,570.30 : 183,724.65 = 69,866.30 : x
  2. Step 2: Convert to fraction form
    122,570.30/183,724.65 = 69,866.30/x
  3. Step 3: Cross multiply
    122,570.30x = 183,724.65 × 69,866.30
  4. Step 4: Simplify right side
    122,570.30x = 12,836,161,514.30
  5. Step 5: Solve for x
    x = 12,836,161,514.30/122,570.30
  6. Step 6: Final answer
    x = 104,724.89

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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.