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Finding the Fourth Proportional to 238,188.16, 357,097.92 and 106,768

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Solution

The fourth proportional to 238,188.16, 357,097.92 and 106,768 is: 160,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,188.16 : 357,097.92 = 106,768 : x
  2. Step 2: Convert to fraction form
    238,188.16/357,097.92 = 106,768/x
  3. Step 3: Cross multiply
    238,188.16x = 357,097.92 × 106,768
  4. Step 4: Simplify right side
    238,188.16x = 38,126,630,722.56
  5. Step 5: Solve for x
    x = 38,126,630,722.56/238,188.16
  6. Step 6: Final answer
    x = 160,069.38

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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.