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Finding the Fourth Proportional to 185,781.48, 256,381.38 and 105,206.82

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Solution

The fourth proportional to 185,781.48, 256,381.38 and 105,206.82 is: 145,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.48 : 256,381.38 = 105,206.82 : x
  2. Step 2: Convert to fraction form
    185,781.48/256,381.38 = 105,206.82/x
  3. Step 3: Cross multiply
    185,781.48x = 256,381.38 × 105,206.82
  4. Step 4: Simplify right side
    185,781.48x = 26,973,069,697.01
  5. Step 5: Solve for x
    x = 26,973,069,697.01/185,781.48
  6. Step 6: Final answer
    x = 145,187.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.