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Finding the Fourth Proportional to 157,113.99, 235,707.90 and 51,932.96

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Solution

The fourth proportional to 157,113.99, 235,707.90 and 51,932.96 is: 77,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.99 : 235,707.90 = 51,932.96 : x
  2. Step 2: Convert to fraction form
    157,113.99/235,707.90 = 51,932.96/x
  3. Step 3: Cross multiply
    157,113.99x = 235,707.90 × 51,932.96
  4. Step 4: Simplify right side
    157,113.99x = 12,241,008,682.72
  5. Step 5: Solve for x
    x = 12,241,008,682.72/157,113.99
  6. Step 6: Final answer
    x = 77,911.64

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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.