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Finding the Fourth Proportional to 152,093.34, 209,818.98 and 98,395.65

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Solution

The fourth proportional to 152,093.34, 209,818.98 and 98,395.65 is: 135,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,093.34 : 209,818.98 = 98,395.65 : x
  2. Step 2: Convert to fraction form
    152,093.34/209,818.98 = 98,395.65/x
  3. Step 3: Cross multiply
    152,093.34x = 209,818.98 × 98,395.65
  4. Step 4: Simplify right side
    152,093.34x = 20,645,274,919.44
  5. Step 5: Solve for x
    x = 20,645,274,919.44/152,093.34
  6. Step 6: Final answer
    x = 135,740.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.