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Finding the Fourth Proportional to 265,142.59, 365,896.10 and 144,283.84

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Solution

The fourth proportional to 265,142.59, 365,896.10 and 144,283.84 is: 199,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,142.59 : 365,896.10 = 144,283.84 : x
  2. Step 2: Convert to fraction form
    265,142.59/365,896.10 = 144,283.84/x
  3. Step 3: Cross multiply
    265,142.59x = 365,896.10 × 144,283.84
  4. Step 4: Simplify right side
    265,142.59x = 52,792,894,349.02
  5. Step 5: Solve for x
    x = 52,792,894,349.02/265,142.59
  6. Step 6: Final answer
    x = 199,111.33

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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.