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Finding the Fourth Proportional to 119,463.10, 164,859.18 and 65,752

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Solution

The fourth proportional to 119,463.10, 164,859.18 and 65,752 is: 90,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,463.10 : 164,859.18 = 65,752 : x
  2. Step 2: Convert to fraction form
    119,463.10/164,859.18 = 65,752/x
  3. Step 3: Cross multiply
    119,463.10x = 164,859.18 × 65,752
  4. Step 4: Simplify right side
    119,463.10x = 10,839,820,803.36
  5. Step 5: Solve for x
    x = 10,839,820,803.36/119,463.10
  6. Step 6: Final answer
    x = 90,737.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.