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Finding the Fourth Proportional to 142,574.59, 196,550.11 and 97,194.34

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Solution

The fourth proportional to 142,574.59, 196,550.11 and 97,194.34 is: 133,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.59 : 196,550.11 = 97,194.34 : x
  2. Step 2: Convert to fraction form
    142,574.59/196,550.11 = 97,194.34/x
  3. Step 3: Cross multiply
    142,574.59x = 196,550.11 × 97,194.34
  4. Step 4: Simplify right side
    142,574.59x = 19,103,558,218.38
  5. Step 5: Solve for x
    x = 19,103,558,218.38/142,574.59
  6. Step 6: Final answer
    x = 133,989.92

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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.