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Finding the Fourth Proportional to 137,812.93, 190,202.49 and 84,129.07

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Solution

The fourth proportional to 137,812.93, 190,202.49 and 84,129.07 is: 116,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,812.93 : 190,202.49 = 84,129.07 : x
  2. Step 2: Convert to fraction form
    137,812.93/190,202.49 = 84,129.07/x
  3. Step 3: Cross multiply
    137,812.93x = 190,202.49 × 84,129.07
  4. Step 4: Simplify right side
    137,812.93x = 16,001,558,595.38
  5. Step 5: Solve for x
    x = 16,001,558,595.38/137,812.93
  6. Step 6: Final answer
    x = 116,110.72

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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.