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Finding the Fourth Proportional to 133,575.95, 200,045.90 and 77,297.42

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Solution

The fourth proportional to 133,575.95, 200,045.90 and 77,297.42 is: 115,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,575.95 : 200,045.90 = 77,297.42 : x
  2. Step 2: Convert to fraction form
    133,575.95/200,045.90 = 77,297.42/x
  3. Step 3: Cross multiply
    133,575.95x = 200,045.90 × 77,297.42
  4. Step 4: Simplify right side
    133,575.95x = 15,463,030,564.86
  5. Step 5: Solve for x
    x = 15,463,030,564.86/133,575.95
  6. Step 6: Final answer
    x = 115,762.09

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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.