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Finding the Fourth Proportional to 211,459.93, 317,159.02 and 61,659.97

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Solution

The fourth proportional to 211,459.93, 317,159.02 and 61,659.97 is: 92,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,459.93 : 317,159.02 = 61,659.97 : x
  2. Step 2: Convert to fraction form
    211,459.93/317,159.02 = 61,659.97/x
  3. Step 3: Cross multiply
    211,459.93x = 317,159.02 × 61,659.97
  4. Step 4: Simplify right side
    211,459.93x = 19,556,014,942.61
  5. Step 5: Solve for x
    x = 19,556,014,942.61/211,459.93
  6. Step 6: Final answer
    x = 92,480.95

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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.