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Finding the Fourth Proportional to 133,822, 200,810.76 and 59,950

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Solution

The fourth proportional to 133,822, 200,810.76 and 59,950 is: 89,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822 : 200,810.76 = 59,950 : x
  2. Step 2: Convert to fraction form
    133,822/200,810.76 = 59,950/x
  3. Step 3: Cross multiply
    133,822x = 200,810.76 × 59,950
  4. Step 4: Simplify right side
    133,822x = 12,038,605,062
  5. Step 5: Solve for x
    x = 12,038,605,062/133,822
  6. Step 6: Final answer
    x = 89,959.84

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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.