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Finding the Fourth Proportional to 113,463.40, 169,935.90 and 66,807.40

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Solution

The fourth proportional to 113,463.40, 169,935.90 and 66,807.40 is: 100,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,463.40 : 169,935.90 = 66,807.40 : x
  2. Step 2: Convert to fraction form
    113,463.40/169,935.90 = 66,807.40/x
  3. Step 3: Cross multiply
    113,463.40x = 169,935.90 × 66,807.40
  4. Step 4: Simplify right side
    113,463.40x = 11,352,975,645.66
  5. Step 5: Solve for x
    x = 11,352,975,645.66/113,463.40
  6. Step 6: Final answer
    x = 100,058.48

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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.