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Finding the Fourth Proportional to 96,403.86, 144,354.29 and 77,581.08

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Solution

The fourth proportional to 96,403.86, 144,354.29 and 77,581.08 is: 116,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,403.86 : 144,354.29 = 77,581.08 : x
  2. Step 2: Convert to fraction form
    96,403.86/144,354.29 = 77,581.08/x
  3. Step 3: Cross multiply
    96,403.86x = 144,354.29 × 77,581.08
  4. Step 4: Simplify right side
    96,403.86x = 11,199,161,332.93
  5. Step 5: Solve for x
    x = 11,199,161,332.93/96,403.86
  6. Step 6: Final answer
    x = 116,169.22

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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.