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Finding the Fourth Proportional to 202,225.10, 303,337.65 and 102,692.30

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Solution

The fourth proportional to 202,225.10, 303,337.65 and 102,692.30 is: 154,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,225.10 : 303,337.65 = 102,692.30 : x
  2. Step 2: Convert to fraction form
    202,225.10/303,337.65 = 102,692.30/x
  3. Step 3: Cross multiply
    202,225.10x = 303,337.65 × 102,692.30
  4. Step 4: Simplify right side
    202,225.10x = 31,150,440,955.10
  5. Step 5: Solve for x
    x = 31,150,440,955.10/202,225.10
  6. Step 6: Final answer
    x = 154,038.45

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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.