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Finding the Fourth Proportional to 561,702.40, 842,527.68 and 140,968.96

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Solution

The fourth proportional to 561,702.40, 842,527.68 and 140,968.96 is: 211,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,702.40 : 842,527.68 = 140,968.96 : x
  2. Step 2: Convert to fraction form
    561,702.40/842,527.68 = 140,968.96/x
  3. Step 3: Cross multiply
    561,702.40x = 842,527.68 × 140,968.96
  4. Step 4: Simplify right side
    561,702.40x = 118,770,250,820.81
  5. Step 5: Solve for x
    x = 118,770,250,820.81/561,702.40
  6. Step 6: Final answer
    x = 211,446.93

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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.