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Finding the Fourth Proportional to 194,545.39, 268,574.12 and 138,091.63

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Solution

The fourth proportional to 194,545.39, 268,574.12 and 138,091.63 is: 190,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,545.39 : 268,574.12 = 138,091.63 : x
  2. Step 2: Convert to fraction form
    194,545.39/268,574.12 = 138,091.63/x
  3. Step 3: Cross multiply
    194,545.39x = 268,574.12 × 138,091.63
  4. Step 4: Simplify right side
    194,545.39x = 37,087,837,316.16
  5. Step 5: Solve for x
    x = 37,087,837,316.16/194,545.39
  6. Step 6: Final answer
    x = 190,638.48

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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.