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Finding the Fourth Proportional to 105,200.40, 157,493.40 and 94,141.20

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Solution

The fourth proportional to 105,200.40, 157,493.40 and 94,141.20 is: 140,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200.40 : 157,493.40 = 94,141.20 : x
  2. Step 2: Convert to fraction form
    105,200.40/157,493.40 = 94,141.20/x
  3. Step 3: Cross multiply
    105,200.40x = 157,493.40 × 94,141.20
  4. Step 4: Simplify right side
    105,200.40x = 14,826,617,668.08
  5. Step 5: Solve for x
    x = 14,826,617,668.08/105,200.40
  6. Step 6: Final answer
    x = 140,936.89

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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.