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Finding the Fourth Proportional to 133,830, 200,822.76 and 59,958

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Solution

The fourth proportional to 133,830, 200,822.76 and 59,958 is: 89,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830 : 200,822.76 = 59,958 : x
  2. Step 2: Convert to fraction form
    133,830/200,822.76 = 59,958/x
  3. Step 3: Cross multiply
    133,830x = 200,822.76 × 59,958
  4. Step 4: Simplify right side
    133,830x = 12,040,931,044.08
  5. Step 5: Solve for x
    x = 12,040,931,044.08/133,830
  6. Step 6: Final answer
    x = 89,971.84

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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.