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Finding the Fourth Proportional to 214,687.80, 322,031.70 and 191,068.20

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Solution

The fourth proportional to 214,687.80, 322,031.70 and 191,068.20 is: 286,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,687.80 : 322,031.70 = 191,068.20 : x
  2. Step 2: Convert to fraction form
    214,687.80/322,031.70 = 191,068.20/x
  3. Step 3: Cross multiply
    214,687.80x = 322,031.70 × 191,068.20
  4. Step 4: Simplify right side
    214,687.80x = 61,530,017,261.94
  5. Step 5: Solve for x
    x = 61,530,017,261.94/214,687.80
  6. Step 6: Final answer
    x = 286,602.30

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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.