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Finding the Fourth Proportional to 185,892.84, 256,554 and 110,441.40

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Solution

The fourth proportional to 185,892.84, 256,554 and 110,441.40 is: 152,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.84 : 256,554 = 110,441.40 : x
  2. Step 2: Convert to fraction form
    185,892.84/256,554 = 110,441.40/x
  3. Step 3: Cross multiply
    185,892.84x = 256,554 × 110,441.40
  4. Step 4: Simplify right side
    185,892.84x = 28,334,182,935.60
  5. Step 5: Solve for x
    x = 28,334,182,935.60/185,892.84
  6. Step 6: Final answer
    x = 152,422.13

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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.