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Finding the Fourth Proportional to 265,133.36, 365,876.68 and 144,271.84

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Solution

The fourth proportional to 265,133.36, 365,876.68 and 144,271.84 is: 199,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,133.36 : 365,876.68 = 144,271.84 : x
  2. Step 2: Convert to fraction form
    265,133.36/365,876.68 = 144,271.84/x
  3. Step 3: Cross multiply
    265,133.36x = 365,876.68 × 144,271.84
  4. Step 4: Simplify right side
    265,133.36x = 52,785,701,836.69
  5. Step 5: Solve for x
    x = 52,785,701,836.69/265,133.36
  6. Step 6: Final answer
    x = 199,091.14

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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.