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Finding the Fourth Proportional to 155,268.84, 232,914.33 and 41,416.01

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Solution

The fourth proportional to 155,268.84, 232,914.33 and 41,416.01 is: 62,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,268.84 : 232,914.33 = 41,416.01 : x
  2. Step 2: Convert to fraction form
    155,268.84/232,914.33 = 41,416.01/x
  3. Step 3: Cross multiply
    155,268.84x = 232,914.33 × 41,416.01
  4. Step 4: Simplify right side
    155,268.84x = 9,646,381,987.52
  5. Step 5: Solve for x
    x = 9,646,381,987.52/155,268.84
  6. Step 6: Final answer
    x = 62,126.97

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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.