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Finding the Fourth Proportional to 238,584, 357,878.16 and 72,372

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Solution

The fourth proportional to 238,584, 357,878.16 and 72,372 is: 108,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,584 : 357,878.16 = 72,372 : x
  2. Step 2: Convert to fraction form
    238,584/357,878.16 = 72,372/x
  3. Step 3: Cross multiply
    238,584x = 357,878.16 × 72,372
  4. Step 4: Simplify right side
    238,584x = 25,900,358,195.52
  5. Step 5: Solve for x
    x = 25,900,358,195.52/238,584
  6. Step 6: Final answer
    x = 108,558.66

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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.