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Finding the Fourth Proportional to 238,867.48, 358,222.74 and 105,744.88

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Solution

The fourth proportional to 238,867.48, 358,222.74 and 105,744.88 is: 158,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,867.48 : 358,222.74 = 105,744.88 : x
  2. Step 2: Convert to fraction form
    238,867.48/358,222.74 = 105,744.88/x
  3. Step 3: Cross multiply
    238,867.48x = 358,222.74 × 105,744.88
  4. Step 4: Simplify right side
    238,867.48x = 37,880,220,654.57
  5. Step 5: Solve for x
    x = 37,880,220,654.57/238,867.48
  6. Step 6: Final answer
    x = 158,582.58

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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.