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Finding the Fourth Proportional to 211,218.96, 316,073.44 and 183,466

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Solution

The fourth proportional to 211,218.96, 316,073.44 and 183,466 is: 274,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,218.96 : 316,073.44 = 183,466 : x
  2. Step 2: Convert to fraction form
    211,218.96/316,073.44 = 183,466/x
  3. Step 3: Cross multiply
    211,218.96x = 316,073.44 × 183,466
  4. Step 4: Simplify right side
    211,218.96x = 57,988,729,743.04
  5. Step 5: Solve for x
    x = 57,988,729,743.04/211,218.96
  6. Step 6: Final answer
    x = 274,543.20

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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.