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Finding the Fourth Proportional to 264,040, 364,398.24 and 144,831.04

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Solution

The fourth proportional to 264,040, 364,398.24 and 144,831.04 is: 199,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,040 : 364,398.24 = 144,831.04 : x
  2. Step 2: Convert to fraction form
    264,040/364,398.24 = 144,831.04/x
  3. Step 3: Cross multiply
    264,040x = 364,398.24 × 144,831.04
  4. Step 4: Simplify right side
    264,040x = 52,776,176,073.37
  5. Step 5: Solve for x
    x = 52,776,176,073.37/264,040
  6. Step 6: Final answer
    x = 199,879.47

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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.