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Finding the Fourth Proportional to 96,363.68, 144,569.81 and 77,812.25

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Solution

The fourth proportional to 96,363.68, 144,569.81 and 77,812.25 is: 116,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,363.68 : 144,569.81 = 77,812.25 : x
  2. Step 2: Convert to fraction form
    96,363.68/144,569.81 = 77,812.25/x
  3. Step 3: Cross multiply
    96,363.68x = 144,569.81 × 77,812.25
  4. Step 4: Simplify right side
    96,363.68x = 11,249,301,669.85
  5. Step 5: Solve for x
    x = 11,249,301,669.85/96,363.68
  6. Step 6: Final answer
    x = 116,737.99

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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.