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Finding the Fourth Proportional to 105,229.40, 145,216.54 and 56,831.34

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Solution

The fourth proportional to 105,229.40, 145,216.54 and 56,831.34 is: 78,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.40 : 145,216.54 = 56,831.34 : x
  2. Step 2: Convert to fraction form
    105,229.40/145,216.54 = 56,831.34/x
  3. Step 3: Cross multiply
    105,229.40x = 145,216.54 × 56,831.34
  4. Step 4: Simplify right side
    105,229.40x = 8,252,850,274.21
  5. Step 5: Solve for x
    x = 8,252,850,274.21/105,229.40
  6. Step 6: Final answer
    x = 78,427.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.