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Finding the Fourth Proportional to 132,544.98, 198,810.99 and 49,432.50

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Solution

The fourth proportional to 132,544.98, 198,810.99 and 49,432.50 is: 74,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,544.98 : 198,810.99 = 49,432.50 : x
  2. Step 2: Convert to fraction form
    132,544.98/198,810.99 = 49,432.50/x
  3. Step 3: Cross multiply
    132,544.98x = 198,810.99 × 49,432.50
  4. Step 4: Simplify right side
    132,544.98x = 9,827,724,263.18
  5. Step 5: Solve for x
    x = 9,827,724,263.18/132,544.98
  6. Step 6: Final answer
    x = 74,146.33

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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.