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Finding the Fourth Proportional to 157,347.96, 235,893.84 and 73,161.12

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Solution

The fourth proportional to 157,347.96, 235,893.84 and 73,161.12 is: 109,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,347.96 : 235,893.84 = 73,161.12 : x
  2. Step 2: Convert to fraction form
    157,347.96/235,893.84 = 73,161.12/x
  3. Step 3: Cross multiply
    157,347.96x = 235,893.84 × 73,161.12
  4. Step 4: Simplify right side
    157,347.96x = 17,258,257,535.50
  5. Step 5: Solve for x
    x = 17,258,257,535.50/157,347.96
  6. Step 6: Final answer
    x = 109,682.12

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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.