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Finding the Fourth Proportional to 233,214.08, 349,671.47 and 111,584.48

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Solution

The fourth proportional to 233,214.08, 349,671.47 and 111,584.48 is: 167,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214.08 : 349,671.47 = 111,584.48 : x
  2. Step 2: Convert to fraction form
    233,214.08/349,671.47 = 111,584.48/x
  3. Step 3: Cross multiply
    233,214.08x = 349,671.47 × 111,584.48
  4. Step 4: Simplify right side
    233,214.08x = 39,017,909,150.79
  5. Step 5: Solve for x
    x = 39,017,909,150.79/233,214.08
  6. Step 6: Final answer
    x = 167,305.12

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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.