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Finding the Fourth Proportional to 133,822.50, 200,811.51 and 59,950.50

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Solution

The fourth proportional to 133,822.50, 200,811.51 and 59,950.50 is: 89,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822.50 : 200,811.51 = 59,950.50 : x
  2. Step 2: Convert to fraction form
    133,822.50/200,811.51 = 59,950.50/x
  3. Step 3: Cross multiply
    133,822.50x = 200,811.51 × 59,950.50
  4. Step 4: Simplify right side
    133,822.50x = 12,038,750,430.26
  5. Step 5: Solve for x
    x = 12,038,750,430.26/133,822.50
  6. Step 6: Final answer
    x = 89,960.59

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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.