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Finding the Fourth Proportional to 347,833.80, 521,702.10 and 111,200.40

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Solution

The fourth proportional to 347,833.80, 521,702.10 and 111,200.40 is: 166,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,833.80 : 521,702.10 = 111,200.40 : x
  2. Step 2: Convert to fraction form
    347,833.80/521,702.10 = 111,200.40/x
  3. Step 3: Cross multiply
    347,833.80x = 521,702.10 × 111,200.40
  4. Step 4: Simplify right side
    347,833.80x = 58,013,482,200.84
  5. Step 5: Solve for x
    x = 58,013,482,200.84/347,833.80
  6. Step 6: Final answer
    x = 166,785.06

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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.