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Finding the Fourth Proportional to 265,270.57, 366,078.06 and 144,415.33

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Solution

The fourth proportional to 265,270.57, 366,078.06 and 144,415.33 is: 199,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,270.57 : 366,078.06 = 144,415.33 : x
  2. Step 2: Convert to fraction form
    265,270.57/366,078.06 = 144,415.33/x
  3. Step 3: Cross multiply
    265,270.57x = 366,078.06 × 144,415.33
  4. Step 4: Simplify right side
    265,270.57x = 52,867,282,925.46
  5. Step 5: Solve for x
    x = 52,867,282,925.46/265,270.57
  6. Step 6: Final answer
    x = 199,295.70

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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.