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Finding the Fourth Proportional to 238,856.54, 358,346.80 and 70,382.84

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Solution

The fourth proportional to 238,856.54, 358,346.80 and 70,382.84 is: 105,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,856.54 : 358,346.80 = 70,382.84 : x
  2. Step 2: Convert to fraction form
    238,856.54/358,346.80 = 70,382.84/x
  3. Step 3: Cross multiply
    238,856.54x = 358,346.80 × 70,382.84
  4. Step 4: Simplify right side
    238,856.54x = 25,221,465,488.91
  5. Step 5: Solve for x
    x = 25,221,465,488.91/238,856.54
  6. Step 6: Final answer
    x = 105,592.53

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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.