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Finding the Fourth Proportional to 114,477.40, 171,716.10 and 97,564.60

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Solution

The fourth proportional to 114,477.40, 171,716.10 and 97,564.60 is: 146,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477.40 : 171,716.10 = 97,564.60 : x
  2. Step 2: Convert to fraction form
    114,477.40/171,716.10 = 97,564.60/x
  3. Step 3: Cross multiply
    114,477.40x = 171,716.10 × 97,564.60
  4. Step 4: Simplify right side
    114,477.40x = 16,753,412,610.06
  5. Step 5: Solve for x
    x = 16,753,412,610.06/114,477.40
  6. Step 6: Final answer
    x = 146,346.90

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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.