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Finding the Fourth Proportional to 98,833, 148,264.86 and 33,184.36

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Solution

The fourth proportional to 98,833, 148,264.86 and 33,184.36 is: 49,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833 : 148,264.86 = 33,184.36 : x
  2. Step 2: Convert to fraction form
    98,833/148,264.86 = 33,184.36/x
  3. Step 3: Cross multiply
    98,833x = 148,264.86 × 33,184.36
  4. Step 4: Simplify right side
    98,833x = 4,920,074,489.59
  5. Step 5: Solve for x
    x = 4,920,074,489.59/98,833
  6. Step 6: Final answer
    x = 49,781.70

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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.