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Finding the Fourth Proportional to 111,831.66, 154,297.08 and 77,801.94

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Solution

The fourth proportional to 111,831.66, 154,297.08 and 77,801.94 is: 107,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,831.66 : 154,297.08 = 77,801.94 : x
  2. Step 2: Convert to fraction form
    111,831.66/154,297.08 = 77,801.94/x
  3. Step 3: Cross multiply
    111,831.66x = 154,297.08 × 77,801.94
  4. Step 4: Simplify right side
    111,831.66x = 12,004,612,160.34
  5. Step 5: Solve for x
    x = 12,004,612,160.34/111,831.66
  6. Step 6: Final answer
    x = 107,345.38

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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.