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Finding the Fourth Proportional to 105,901.63, 146,159.54 and 63,464.11

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Solution

The fourth proportional to 105,901.63, 146,159.54 and 63,464.11 is: 87,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,901.63 : 146,159.54 = 63,464.11 : x
  2. Step 2: Convert to fraction form
    105,901.63/146,159.54 = 63,464.11/x
  3. Step 3: Cross multiply
    105,901.63x = 146,159.54 × 63,464.11
  4. Step 4: Simplify right side
    105,901.63x = 9,275,884,679.38
  5. Step 5: Solve for x
    x = 9,275,884,679.38/105,901.63
  6. Step 6: Final answer
    x = 87,589.63

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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.