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Finding the Fourth Proportional to 117,976.71, 176,946.81 and 64,694.98

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Solution

The fourth proportional to 117,976.71, 176,946.81 and 64,694.98 is: 97,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976.71 : 176,946.81 = 64,694.98 : x
  2. Step 2: Convert to fraction form
    117,976.71/176,946.81 = 64,694.98/x
  3. Step 3: Cross multiply
    117,976.71x = 176,946.81 × 64,694.98
  4. Step 4: Simplify right side
    117,976.71x = 11,447,570,791.86
  5. Step 5: Solve for x
    x = 11,447,570,791.86/117,976.71
  6. Step 6: Final answer
    x = 97,032.46

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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.