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Finding the Fourth Proportional to 189,143.16, 261,035.96 and 141,313.47

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Solution

The fourth proportional to 189,143.16, 261,035.96 and 141,313.47 is: 195,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,143.16 : 261,035.96 = 141,313.47 : x
  2. Step 2: Convert to fraction form
    189,143.16/261,035.96 = 141,313.47/x
  3. Step 3: Cross multiply
    189,143.16x = 261,035.96 × 141,313.47
  4. Step 4: Simplify right side
    189,143.16x = 36,887,897,302.38
  5. Step 5: Solve for x
    x = 36,887,897,302.38/189,143.16
  6. Step 6: Final answer
    x = 195,026.34

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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.