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Finding the Fourth Proportional to 211,159.41, 316,785.83 and 116,340.77

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Solution

The fourth proportional to 211,159.41, 316,785.83 and 116,340.77 is: 174,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,159.41 : 316,785.83 = 116,340.77 : x
  2. Step 2: Convert to fraction form
    211,159.41/316,785.83 = 116,340.77/x
  3. Step 3: Cross multiply
    211,159.41x = 316,785.83 × 116,340.77
  4. Step 4: Simplify right side
    211,159.41x = 36,855,107,387.29
  5. Step 5: Solve for x
    x = 36,855,107,387.29/211,159.41
  6. Step 6: Final answer
    x = 174,536.89

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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.