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Finding the Fourth Proportional to 202,437, 303,840.66 and 102,666.04

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Solution

The fourth proportional to 202,437, 303,840.66 and 102,666.04 is: 154,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,437 : 303,840.66 = 102,666.04 : x
  2. Step 2: Convert to fraction form
    202,437/303,840.66 = 102,666.04/x
  3. Step 3: Cross multiply
    202,437x = 303,840.66 × 102,666.04
  4. Step 4: Simplify right side
    202,437x = 31,194,117,353.19
  5. Step 5: Solve for x
    x = 31,194,117,353.19/202,437
  6. Step 6: Final answer
    x = 154,092.96

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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.