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Finding the Fourth Proportional to 117,963.96, 176,927.64 and 64,682.16

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Solution

The fourth proportional to 117,963.96, 176,927.64 and 64,682.16 is: 97,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,963.96 : 176,927.64 = 64,682.16 : x
  2. Step 2: Convert to fraction form
    117,963.96/176,927.64 = 64,682.16/x
  3. Step 3: Cross multiply
    117,963.96x = 176,927.64 × 64,682.16
  4. Step 4: Simplify right side
    117,963.96x = 11,444,061,918.90
  5. Step 5: Solve for x
    x = 11,444,061,918.90/117,963.96
  6. Step 6: Final answer
    x = 97,013.21

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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.