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Finding the Fourth Proportional to 122,188.82, 183,283.10 and 33,443.06

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Solution

The fourth proportional to 122,188.82, 183,283.10 and 33,443.06 is: 50,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,188.82 : 183,283.10 = 33,443.06 : x
  2. Step 2: Convert to fraction form
    122,188.82/183,283.10 = 33,443.06/x
  3. Step 3: Cross multiply
    122,188.82x = 183,283.10 × 33,443.06
  4. Step 4: Simplify right side
    122,188.82x = 6,129,547,543.07
  5. Step 5: Solve for x
    x = 6,129,547,543.07/122,188.82
  6. Step 6: Final answer
    x = 50,164.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.