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Finding the Fourth Proportional to 265,169.24, 365,926.53 and 144,307.94

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Solution

The fourth proportional to 265,169.24, 365,926.53 and 144,307.94 is: 199,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,169.24 : 365,926.53 = 144,307.94 : x
  2. Step 2: Convert to fraction form
    265,169.24/365,926.53 = 144,307.94/x
  3. Step 3: Cross multiply
    265,169.24x = 365,926.53 × 144,307.94
  4. Step 4: Simplify right side
    265,169.24x = 52,806,101,906.02
  5. Step 5: Solve for x
    x = 52,806,101,906.02/265,169.24
  6. Step 6: Final answer
    x = 199,141.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.