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Finding the Fourth Proportional to 233,247.76, 349,834.14 and 83,460.16

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Solution

The fourth proportional to 233,247.76, 349,834.14 and 83,460.16 is: 125,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,247.76 : 349,834.14 = 83,460.16 : x
  2. Step 2: Convert to fraction form
    233,247.76/349,834.14 = 83,460.16/x
  3. Step 3: Cross multiply
    233,247.76x = 349,834.14 × 83,460.16
  4. Step 4: Simplify right side
    233,247.76x = 29,197,213,297.86
  5. Step 5: Solve for x
    x = 29,197,213,297.86/233,247.76
  6. Step 6: Final answer
    x = 125,176.82

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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.