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Finding the Fourth Proportional to 211,861.62, 292,354.65 and 116,372.34

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Solution

The fourth proportional to 211,861.62, 292,354.65 and 116,372.34 is: 160,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,861.62 : 292,354.65 = 116,372.34 : x
  2. Step 2: Convert to fraction form
    211,861.62/292,354.65 = 116,372.34/x
  3. Step 3: Cross multiply
    211,861.62x = 292,354.65 × 116,372.34
  4. Step 4: Simplify right side
    211,861.62x = 34,021,994,730.38
  5. Step 5: Solve for x
    x = 34,021,994,730.38/211,861.62
  6. Step 6: Final answer
    x = 160,585.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.