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Finding the Fourth Proportional to 238,421.92, 357,730.80 and 113,683.36

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Solution

The fourth proportional to 238,421.92, 357,730.80 and 113,683.36 is: 170,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,421.92 : 357,730.80 = 113,683.36 : x
  2. Step 2: Convert to fraction form
    238,421.92/357,730.80 = 113,683.36/x
  3. Step 3: Cross multiply
    238,421.92x = 357,730.80 × 113,683.36
  4. Step 4: Simplify right side
    238,421.92x = 40,668,039,319.49
  5. Step 5: Solve for x
    x = 40,668,039,319.49/238,421.92
  6. Step 6: Final answer
    x = 170,571.73

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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.