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Finding the Fourth Proportional to 129,916.94, 194,880.86 and 63,413.00

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Solution

The fourth proportional to 129,916.94, 194,880.86 and 63,413.00 is: 95,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916.94 : 194,880.86 = 63,413.00 : x
  2. Step 2: Convert to fraction form
    129,916.94/194,880.86 = 63,413.00/x
  3. Step 3: Cross multiply
    129,916.94x = 194,880.86 × 63,413.00
  4. Step 4: Simplify right side
    129,916.94x = 12,357,979,652.31
  5. Step 5: Solve for x
    x = 12,357,979,652.31/129,916.94
  6. Step 6: Final answer
    x = 95,122.16

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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.