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Finding the Fourth Proportional to 211,088.30, 291,299.77 and 114,291.68

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Solution

The fourth proportional to 211,088.30, 291,299.77 and 114,291.68 is: 157,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,088.30 : 291,299.77 = 114,291.68 : x
  2. Step 2: Convert to fraction form
    211,088.30/291,299.77 = 114,291.68/x
  3. Step 3: Cross multiply
    211,088.30x = 291,299.77 × 114,291.68
  4. Step 4: Simplify right side
    211,088.30x = 33,293,140,096.91
  5. Step 5: Solve for x
    x = 33,293,140,096.91/211,088.30
  6. Step 6: Final answer
    x = 157,721.39

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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.