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Finding the Fourth Proportional to 197,141.40, 272,055.20 and 106,497.36

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Solution

The fourth proportional to 197,141.40, 272,055.20 and 106,497.36 is: 146,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,141.40 : 272,055.20 = 106,497.36 : x
  2. Step 2: Convert to fraction form
    197,141.40/272,055.20 = 106,497.36/x
  3. Step 3: Cross multiply
    197,141.40x = 272,055.20 × 106,497.36
  4. Step 4: Simplify right side
    197,141.40x = 28,973,160,574.27
  5. Step 5: Solve for x
    x = 28,973,160,574.27/197,141.40
  6. Step 6: Final answer
    x = 146,966.39

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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.