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Finding the Fourth Proportional to 224,557.86, 309,816.25 and 160,037.26

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Solution

The fourth proportional to 224,557.86, 309,816.25 and 160,037.26 is: 220,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,557.86 : 309,816.25 = 160,037.26 : x
  2. Step 2: Convert to fraction form
    224,557.86/309,816.25 = 160,037.26/x
  3. Step 3: Cross multiply
    224,557.86x = 309,816.25 × 160,037.26
  4. Step 4: Simplify right side
    224,557.86x = 49,582,141,404.21
  5. Step 5: Solve for x
    x = 49,582,141,404.21/224,557.86
  6. Step 6: Final answer
    x = 220,798.96

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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.