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Finding the Fourth Proportional to 143,130.38, 197,194.98 and 110,753.66

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Solution

The fourth proportional to 143,130.38, 197,194.98 and 110,753.66 is: 152,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,130.38 : 197,194.98 = 110,753.66 : x
  2. Step 2: Convert to fraction form
    143,130.38/197,194.98 = 110,753.66/x
  3. Step 3: Cross multiply
    143,130.38x = 197,194.98 × 110,753.66
  4. Step 4: Simplify right side
    143,130.38x = 21,840,065,768.63
  5. Step 5: Solve for x
    x = 21,840,065,768.63/143,130.38
  6. Step 6: Final answer
    x = 152,588.61

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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.