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Finding the Fourth Proportional to 140,776.84, 211,193.34 and 47,279.08

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Solution

The fourth proportional to 140,776.84, 211,193.34 and 47,279.08 is: 70,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,776.84 : 211,193.34 = 47,279.08 : x
  2. Step 2: Convert to fraction form
    140,776.84/211,193.34 = 47,279.08/x
  3. Step 3: Cross multiply
    140,776.84x = 211,193.34 × 47,279.08
  4. Step 4: Simplify right side
    140,776.84x = 9,985,026,817.33
  5. Step 5: Solve for x
    x = 9,985,026,817.33/140,776.84
  6. Step 6: Final answer
    x = 70,928.05

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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.