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Finding the Fourth Proportional to 149,952.70, 224,933.10 and 65,669.50

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Solution

The fourth proportional to 149,952.70, 224,933.10 and 65,669.50 is: 98,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952.70 : 224,933.10 = 65,669.50 : x
  2. Step 2: Convert to fraction form
    149,952.70/224,933.10 = 65,669.50/x
  3. Step 3: Cross multiply
    149,952.70x = 224,933.10 × 65,669.50
  4. Step 4: Simplify right side
    149,952.70x = 14,771,244,210.45
  5. Step 5: Solve for x
    x = 14,771,244,210.45/149,952.70
  6. Step 6: Final answer
    x = 98,506.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.