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Finding the Fourth Proportional to 224,700.09, 309,880.77 and 175,648.20

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Solution

The fourth proportional to 224,700.09, 309,880.77 and 175,648.20 is: 242,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,700.09 : 309,880.77 = 175,648.20 : x
  2. Step 2: Convert to fraction form
    224,700.09/309,880.77 = 175,648.20/x
  3. Step 3: Cross multiply
    224,700.09x = 309,880.77 × 175,648.20
  4. Step 4: Simplify right side
    224,700.09x = 54,429,999,465.11
  5. Step 5: Solve for x
    x = 54,429,999,465.11/224,700.09
  6. Step 6: Final answer
    x = 242,233.99

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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.