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Finding the Fourth Proportional to 155,876.32, 233,837.12 and 49,224.16

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Solution

The fourth proportional to 155,876.32, 233,837.12 and 49,224.16 is: 73,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,876.32 : 233,837.12 = 49,224.16 : x
  2. Step 2: Convert to fraction form
    155,876.32/233,837.12 = 49,224.16/x
  3. Step 3: Cross multiply
    155,876.32x = 233,837.12 × 49,224.16
  4. Step 4: Simplify right side
    155,876.32x = 11,510,435,808.82
  5. Step 5: Solve for x
    x = 11,510,435,808.82/155,876.32
  6. Step 6: Final answer
    x = 73,843.39

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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.