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Finding the Fourth Proportional to 265,076.48, 365,801.52 and 144,215.01

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Solution

The fourth proportional to 265,076.48, 365,801.52 and 144,215.01 is: 199,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,076.48 : 365,801.52 = 144,215.01 : x
  2. Step 2: Convert to fraction form
    265,076.48/365,801.52 = 144,215.01/x
  3. Step 3: Cross multiply
    265,076.48x = 365,801.52 × 144,215.01
  4. Step 4: Simplify right side
    265,076.48x = 52,754,069,864.82
  5. Step 5: Solve for x
    x = 52,754,069,864.82/265,076.48
  6. Step 6: Final answer
    x = 199,014.52

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1.5x scale

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.