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Finding the Fourth Proportional to 122,101.30, 183,151.95 and 102,418.30

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Solution

The fourth proportional to 122,101.30, 183,151.95 and 102,418.30 is: 153,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,101.30 : 183,151.95 = 102,418.30 : x
  2. Step 2: Convert to fraction form
    122,101.30/183,151.95 = 102,418.30/x
  3. Step 3: Cross multiply
    122,101.30x = 183,151.95 × 102,418.30
  4. Step 4: Simplify right side
    122,101.30x = 18,758,111,360.69
  5. Step 5: Solve for x
    x = 18,758,111,360.69/122,101.30
  6. Step 6: Final answer
    x = 153,627.45

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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.