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Finding the Fourth Proportional to 105,411.86, 145,418.11 and 65,111.12

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Solution

The fourth proportional to 105,411.86, 145,418.11 and 65,111.12 is: 89,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.86 : 145,418.11 = 65,111.12 : x
  2. Step 2: Convert to fraction form
    105,411.86/145,418.11 = 65,111.12/x
  3. Step 3: Cross multiply
    105,411.86x = 145,418.11 × 65,111.12
  4. Step 4: Simplify right side
    105,411.86x = 9,468,336,010.38
  5. Step 5: Solve for x
    x = 9,468,336,010.38/105,411.86
  6. Step 6: Final answer
    x = 89,822.30

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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.