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Finding the Fourth Proportional to 116,822.84, 175,133.18 and 99,168.84

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Solution

The fourth proportional to 116,822.84, 175,133.18 and 99,168.84 is: 148,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,822.84 : 175,133.18 = 99,168.84 : x
  2. Step 2: Convert to fraction form
    116,822.84/175,133.18 = 99,168.84/x
  3. Step 3: Cross multiply
    116,822.84x = 175,133.18 × 99,168.84
  4. Step 4: Simplify right side
    116,822.84x = 17,367,754,306.11
  5. Step 5: Solve for x
    x = 17,367,754,306.11/116,822.84
  6. Step 6: Final answer
    x = 148,667.45

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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.