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Finding the Fourth Proportional to 142,767.98, 196,946.11 and 96,812.08

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Solution

The fourth proportional to 142,767.98, 196,946.11 and 96,812.08 is: 133,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,767.98 : 196,946.11 = 96,812.08 : x
  2. Step 2: Convert to fraction form
    142,767.98/196,946.11 = 96,812.08/x
  3. Step 3: Cross multiply
    142,767.98x = 196,946.11 × 96,812.08
  4. Step 4: Simplify right side
    142,767.98x = 19,066,762,072.95
  5. Step 5: Solve for x
    x = 19,066,762,072.95/142,767.98
  6. Step 6: Final answer
    x = 133,550.69

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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.