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Finding the Fourth Proportional to 96,419.86, 144,378.26 and 77,597.08

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Solution

The fourth proportional to 96,419.86, 144,378.26 and 77,597.08 is: 116,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,419.86 : 144,378.26 = 77,597.08 : x
  2. Step 2: Convert to fraction form
    96,419.86/144,378.26 = 77,597.08/x
  3. Step 3: Cross multiply
    96,419.86x = 144,378.26 × 77,597.08
  4. Step 4: Simplify right side
    96,419.86x = 11,203,331,391.48
  5. Step 5: Solve for x
    x = 11,203,331,391.48/96,419.86
  6. Step 6: Final answer
    x = 116,193.19

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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.