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Finding the Fourth Proportional to 160,384.86, 221,338.98 and 92,412.50

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Solution

The fourth proportional to 160,384.86, 221,338.98 and 92,412.50 is: 127,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,384.86 : 221,338.98 = 92,412.50 : x
  2. Step 2: Convert to fraction form
    160,384.86/221,338.98 = 92,412.50/x
  3. Step 3: Cross multiply
    160,384.86x = 221,338.98 × 92,412.50
  4. Step 4: Simplify right side
    160,384.86x = 20,454,487,382.56
  5. Step 5: Solve for x
    x = 20,454,487,382.56/160,384.86
  6. Step 6: Final answer
    x = 127,533.78

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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.