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Finding the Fourth Proportional to 202,312.20, 303,796.35 and 146,543.70

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Solution

The fourth proportional to 202,312.20, 303,796.35 and 146,543.70 is: 220,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312.20 : 303,796.35 = 146,543.70 : x
  2. Step 2: Convert to fraction form
    202,312.20/303,796.35 = 146,543.70/x
  3. Step 3: Cross multiply
    202,312.20x = 303,796.35 × 146,543.70
  4. Step 4: Simplify right side
    202,312.20x = 44,519,441,175.50
  5. Step 5: Solve for x
    x = 44,519,441,175.50/202,312.20
  6. Step 6: Final answer
    x = 220,053.17

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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.