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Finding the Fourth Proportional to 258,714, 388,072.76 and 98,746.80

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Solution

The fourth proportional to 258,714, 388,072.76 and 98,746.80 is: 148,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,714 : 388,072.76 = 98,746.80 : x
  2. Step 2: Convert to fraction form
    258,714/388,072.76 = 98,746.80/x
  3. Step 3: Cross multiply
    258,714x = 388,072.76 × 98,746.80
  4. Step 4: Simplify right side
    258,714x = 38,320,941,268.16
  5. Step 5: Solve for x
    x = 38,320,941,268.16/258,714
  6. Step 6: Final answer
    x = 148,120.86

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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.