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Finding the Fourth Proportional to 100,831.59, 151,196.37 and 56,446.44

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Solution

The fourth proportional to 100,831.59, 151,196.37 and 56,446.44 is: 84,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,831.59 : 151,196.37 = 56,446.44 : x
  2. Step 2: Convert to fraction form
    100,831.59/151,196.37 = 56,446.44/x
  3. Step 3: Cross multiply
    100,831.59x = 151,196.37 × 56,446.44
  4. Step 4: Simplify right side
    100,831.59x = 8,534,496,827.42
  5. Step 5: Solve for x
    x = 8,534,496,827.42/100,831.59
  6. Step 6: Final answer
    x = 84,641.10

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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.