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Finding the Fourth Proportional to 196,009.93, 293,756.54 and 77,616.68

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Solution

The fourth proportional to 196,009.93, 293,756.54 and 77,616.68 is: 116,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,009.93 : 293,756.54 = 77,616.68 : x
  2. Step 2: Convert to fraction form
    196,009.93/293,756.54 = 77,616.68/x
  3. Step 3: Cross multiply
    196,009.93x = 293,756.54 × 77,616.68
  4. Step 4: Simplify right side
    196,009.93x = 22,800,407,363.09
  5. Step 5: Solve for x
    x = 22,800,407,363.09/196,009.93
  6. Step 6: Final answer
    x = 116,322.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.