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Finding the Fourth Proportional to 238,834.36, 357,706.90 and 114,263.48

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Solution

The fourth proportional to 238,834.36, 357,706.90 and 114,263.48 is: 171,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,834.36 : 357,706.90 = 114,263.48 : x
  2. Step 2: Convert to fraction form
    238,834.36/357,706.90 = 114,263.48/x
  3. Step 3: Cross multiply
    238,834.36x = 357,706.90 × 114,263.48
  4. Step 4: Simplify right side
    238,834.36x = 40,872,835,214.01
  5. Step 5: Solve for x
    x = 40,872,835,214.01/238,834.36
  6. Step 6: Final answer
    x = 171,134.65

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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.