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Finding the Fourth Proportional to 114,115.64, 157,426.49 and 73,842.39

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Solution

The fourth proportional to 114,115.64, 157,426.49 and 73,842.39 is: 101,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.64 : 157,426.49 = 73,842.39 : x
  2. Step 2: Convert to fraction form
    114,115.64/157,426.49 = 73,842.39/x
  3. Step 3: Cross multiply
    114,115.64x = 157,426.49 × 73,842.39
  4. Step 4: Simplify right side
    114,115.64x = 11,624,748,455.52
  5. Step 5: Solve for x
    x = 11,624,748,455.52/114,115.64
  6. Step 6: Final answer
    x = 101,868.15

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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.