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Finding the Fourth Proportional to 211,167.14, 316,854.79 and 98,854.97

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Solution

The fourth proportional to 211,167.14, 316,854.79 and 98,854.97 is: 148,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,167.14 : 316,854.79 = 98,854.97 : x
  2. Step 2: Convert to fraction form
    211,167.14/316,854.79 = 98,854.97/x
  3. Step 3: Cross multiply
    211,167.14x = 316,854.79 × 98,854.97
  4. Step 4: Simplify right side
    211,167.14x = 31,322,668,928.39
  5. Step 5: Solve for x
    x = 31,322,668,928.39/211,167.14
  6. Step 6: Final answer
    x = 148,331.17

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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.