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Finding the Fourth Proportional to 122,188.16, 183,275.48 and 33,435.30

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Solution

The fourth proportional to 122,188.16, 183,275.48 and 33,435.30 is: 50,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,188.16 : 183,275.48 = 33,435.30 : x
  2. Step 2: Convert to fraction form
    122,188.16/183,275.48 = 33,435.30/x
  3. Step 3: Cross multiply
    122,188.16x = 183,275.48 × 33,435.30
  4. Step 4: Simplify right side
    122,188.16x = 6,127,870,656.44
  5. Step 5: Solve for x
    x = 6,127,870,656.44/122,188.16
  6. Step 6: Final answer
    x = 50,151.10

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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.