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Finding the Fourth Proportional to 196,060, 293,990.64 and 83,722.72

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Solution

The fourth proportional to 196,060, 293,990.64 and 83,722.72 is: 125,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,060 : 293,990.64 = 83,722.72 : x
  2. Step 2: Convert to fraction form
    196,060/293,990.64 = 83,722.72/x
  3. Step 3: Cross multiply
    196,060x = 293,990.64 × 83,722.72
  4. Step 4: Simplify right side
    196,060x = 24,613,696,035.34
  5. Step 5: Solve for x
    x = 24,613,696,035.34/196,060
  6. Step 6: Final answer
    x = 125,541.65

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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.