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Finding the Fourth Proportional to 211,495.26, 317,242.90 and 123,364.02

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Solution

The fourth proportional to 211,495.26, 317,242.90 and 123,364.02 is: 185,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,495.26 : 317,242.90 = 123,364.02 : x
  2. Step 2: Convert to fraction form
    211,495.26/317,242.90 = 123,364.02/x
  3. Step 3: Cross multiply
    211,495.26x = 317,242.90 × 123,364.02
  4. Step 4: Simplify right side
    211,495.26x = 39,136,359,460.46
  5. Step 5: Solve for x
    x = 39,136,359,460.46/211,495.26
  6. Step 6: Final answer
    x = 185,046.04

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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.