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Finding the Fourth Proportional to 213,113.92, 294,124.32 and 128,276.80

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Solution

The fourth proportional to 213,113.92, 294,124.32 and 128,276.80 is: 177,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,113.92 : 294,124.32 = 128,276.80 : x
  2. Step 2: Convert to fraction form
    213,113.92/294,124.32 = 128,276.80/x
  3. Step 3: Cross multiply
    213,113.92x = 294,124.32 × 128,276.80
  4. Step 4: Simplify right side
    213,113.92x = 37,729,326,571.78
  5. Step 5: Solve for x
    x = 37,729,326,571.78/213,113.92
  6. Step 6: Final answer
    x = 177,038.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.