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Finding the Fourth Proportional to 238,611.84, 357,862.40 and 105,419.52

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Solution

The fourth proportional to 238,611.84, 357,862.40 and 105,419.52 is: 158,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,611.84 : 357,862.40 = 105,419.52 : x
  2. Step 2: Convert to fraction form
    238,611.84/357,862.40 = 105,419.52/x
  3. Step 3: Cross multiply
    238,611.84x = 357,862.40 × 105,419.52
  4. Step 4: Simplify right side
    238,611.84x = 37,725,682,434.05
  5. Step 5: Solve for x
    x = 37,725,682,434.05/238,611.84
  6. Step 6: Final answer
    x = 158,104.82

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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.