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Finding the Fourth Proportional to 238,513.64, 357,766.74 and 61,019.12

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Solution

The fourth proportional to 238,513.64, 357,766.74 and 61,019.12 is: 91,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,513.64 : 357,766.74 = 61,019.12 : x
  2. Step 2: Convert to fraction form
    238,513.64/357,766.74 = 61,019.12/x
  3. Step 3: Cross multiply
    238,513.64x = 357,766.74 × 61,019.12
  4. Step 4: Simplify right side
    238,513.64x = 21,830,611,640.07
  5. Step 5: Solve for x
    x = 21,830,611,640.07/238,513.64
  6. Step 6: Final answer
    x = 91,527.73

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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.