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Finding the Fourth Proportional to 201,038.78, 301,558.20 and 53,294.78

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Solution

The fourth proportional to 201,038.78, 301,558.20 and 53,294.78 is: 79,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,038.78 : 301,558.20 = 53,294.78 : x
  2. Step 2: Convert to fraction form
    201,038.78/301,558.20 = 53,294.78/x
  3. Step 3: Cross multiply
    201,038.78x = 301,558.20 × 53,294.78
  4. Step 4: Simplify right side
    201,038.78x = 16,071,477,926.20
  5. Step 5: Solve for x
    x = 16,071,477,926.20/201,038.78
  6. Step 6: Final answer
    x = 79,942.18

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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.