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Finding the Fourth Proportional to 105,873.93, 158,831.21 and 42,700.43

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Solution

The fourth proportional to 105,873.93, 158,831.21 and 42,700.43 is: 64,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.93 : 158,831.21 = 42,700.43 : x
  2. Step 2: Convert to fraction form
    105,873.93/158,831.21 = 42,700.43/x
  3. Step 3: Cross multiply
    105,873.93x = 158,831.21 × 42,700.43
  4. Step 4: Simplify right side
    105,873.93x = 6,782,161,468.25
  5. Step 5: Solve for x
    x = 6,782,161,468.25/105,873.93
  6. Step 6: Final answer
    x = 64,058.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.