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Finding the Fourth Proportional to 230,044.73, 345,152.75 and 103,647.06

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Solution

The fourth proportional to 230,044.73, 345,152.75 and 103,647.06 is: 155,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,044.73 : 345,152.75 = 103,647.06 : x
  2. Step 2: Convert to fraction form
    230,044.73/345,152.75 = 103,647.06/x
  3. Step 3: Cross multiply
    230,044.73x = 345,152.75 × 103,647.06
  4. Step 4: Simplify right side
    230,044.73x = 35,774,067,270.18
  5. Step 5: Solve for x
    x = 35,774,067,270.18/230,044.73
  6. Step 6: Final answer
    x = 155,509.18

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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.