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Finding the Fourth Proportional to 126,543.54, 189,823.41 and 46,603.02

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Solution

The fourth proportional to 126,543.54, 189,823.41 and 46,603.02 is: 69,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,543.54 : 189,823.41 = 46,603.02 : x
  2. Step 2: Convert to fraction form
    126,543.54/189,823.41 = 46,603.02/x
  3. Step 3: Cross multiply
    126,543.54x = 189,823.41 × 46,603.02
  4. Step 4: Simplify right side
    126,543.54x = 8,846,344,172.70
  5. Step 5: Solve for x
    x = 8,846,344,172.70/126,543.54
  6. Step 6: Final answer
    x = 69,907.51

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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.