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Finding the Fourth Proportional to 232,098.68, 348,172.26 and 98,993

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Solution

The fourth proportional to 232,098.68, 348,172.26 and 98,993 is: 148,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,098.68 : 348,172.26 = 98,993 : x
  2. Step 2: Convert to fraction form
    232,098.68/348,172.26 = 98,993/x
  3. Step 3: Cross multiply
    232,098.68x = 348,172.26 × 98,993
  4. Step 4: Simplify right side
    232,098.68x = 34,466,616,534.18
  5. Step 5: Solve for x
    x = 34,466,616,534.18/232,098.68
  6. Step 6: Final answer
    x = 148,499.84

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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.