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Finding the Fourth Proportional to 202,251.04, 303,441.44 and 97,077.40

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Solution

The fourth proportional to 202,251.04, 303,441.44 and 97,077.40 is: 145,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,251.04 : 303,441.44 = 97,077.40 : x
  2. Step 2: Convert to fraction form
    202,251.04/303,441.44 = 97,077.40/x
  3. Step 3: Cross multiply
    202,251.04x = 303,441.44 × 97,077.40
  4. Step 4: Simplify right side
    202,251.04x = 29,457,306,047.46
  5. Step 5: Solve for x
    x = 29,457,306,047.46/202,251.04
  6. Step 6: Final answer
    x = 145,647.24

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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.