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Finding the Fourth Proportional to 123,952.16, 185,954.36 and 64,771.94

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Solution

The fourth proportional to 123,952.16, 185,954.36 and 64,771.94 is: 97,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,952.16 : 185,954.36 = 64,771.94 : x
  2. Step 2: Convert to fraction form
    123,952.16/185,954.36 = 64,771.94/x
  3. Step 3: Cross multiply
    123,952.16x = 185,954.36 × 64,771.94
  4. Step 4: Simplify right side
    123,952.16x = 12,044,623,395.03
  5. Step 5: Solve for x
    x = 12,044,623,395.03/123,952.16
  6. Step 6: Final answer
    x = 97,171.55

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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.