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Finding the Fourth Proportional to 144,784.77, 217,620 and 141,684.09

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Solution

The fourth proportional to 144,784.77, 217,620 and 141,684.09 is: 212,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,784.77 : 217,620 = 141,684.09 : x
  2. Step 2: Convert to fraction form
    144,784.77/217,620 = 141,684.09/x
  3. Step 3: Cross multiply
    144,784.77x = 217,620 × 141,684.09
  4. Step 4: Simplify right side
    144,784.77x = 30,833,291,665.80
  5. Step 5: Solve for x
    x = 30,833,291,665.80/144,784.77
  6. Step 6: Final answer
    x = 212,959.50

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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.