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Finding the Fourth Proportional to 201,699.02, 302,541.24 and 61,454

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Solution

The fourth proportional to 201,699.02, 302,541.24 and 61,454 is: 92,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.02 : 302,541.24 = 61,454 : x
  2. Step 2: Convert to fraction form
    201,699.02/302,541.24 = 61,454/x
  3. Step 3: Cross multiply
    201,699.02x = 302,541.24 × 61,454
  4. Step 4: Simplify right side
    201,699.02x = 18,592,369,362.96
  5. Step 5: Solve for x
    x = 18,592,369,362.96/201,699.02
  6. Step 6: Final answer
    x = 92,178.78

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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.