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Finding the Fourth Proportional to 105,052, 157,402.56 and 73,831.36

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Solution

The fourth proportional to 105,052, 157,402.56 and 73,831.36 is: 110,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052 : 157,402.56 = 73,831.36 : x
  2. Step 2: Convert to fraction form
    105,052/157,402.56 = 73,831.36/x
  3. Step 3: Cross multiply
    105,052x = 157,402.56 × 73,831.36
  4. Step 4: Simplify right side
    105,052x = 11,621,245,072.28
  5. Step 5: Solve for x
    x = 11,621,245,072.28/105,052
  6. Step 6: Final answer
    x = 110,623.74

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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.