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Finding the Fourth Proportional to 224,823.64, 309,896.22 and 152,203.63

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Solution

The fourth proportional to 224,823.64, 309,896.22 and 152,203.63 is: 209,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,823.64 : 309,896.22 = 152,203.63 : x
  2. Step 2: Convert to fraction form
    224,823.64/309,896.22 = 152,203.63/x
  3. Step 3: Cross multiply
    224,823.64x = 309,896.22 × 152,203.63
  4. Step 4: Simplify right side
    224,823.64x = 47,167,329,607.28
  5. Step 5: Solve for x
    x = 47,167,329,607.28/224,823.64
  6. Step 6: Final answer
    x = 209,797.02

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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.