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Finding the Fourth Proportional to 265,685.82, 366,646.05 and 144,827.34

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Solution

The fourth proportional to 265,685.82, 366,646.05 and 144,827.34 is: 199,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,685.82 : 366,646.05 = 144,827.34 : x
  2. Step 2: Convert to fraction form
    265,685.82/366,646.05 = 144,827.34/x
  3. Step 3: Cross multiply
    265,685.82x = 366,646.05 × 144,827.34
  4. Step 4: Simplify right side
    265,685.82x = 53,100,372,143.01
  5. Step 5: Solve for x
    x = 53,100,372,143.01/265,685.82
  6. Step 6: Final answer
    x = 199,861.52

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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.