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Finding the Fourth Proportional to 116,637.88, 175,034.04 and 64,084

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Solution

The fourth proportional to 116,637.88, 175,034.04 and 64,084 is: 96,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,637.88 : 175,034.04 = 64,084 : x
  2. Step 2: Convert to fraction form
    116,637.88/175,034.04 = 64,084/x
  3. Step 3: Cross multiply
    116,637.88x = 175,034.04 × 64,084
  4. Step 4: Simplify right side
    116,637.88x = 11,216,881,419.36
  5. Step 5: Solve for x
    x = 11,216,881,419.36/116,637.88
  6. Step 6: Final answer
    x = 96,168.43

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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.