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Finding the Fourth Proportional to 224,077.80, 309,199.38 and 151,639.08

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Solution

The fourth proportional to 224,077.80, 309,199.38 and 151,639.08 is: 209,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,077.80 : 309,199.38 = 151,639.08 : x
  2. Step 2: Convert to fraction form
    224,077.80/309,199.38 = 151,639.08/x
  3. Step 3: Cross multiply
    224,077.80x = 309,199.38 × 151,639.08
  4. Step 4: Simplify right side
    224,077.80x = 46,886,709,519.77
  5. Step 5: Solve for x
    x = 46,886,709,519.77/224,077.80
  6. Step 6: Final answer
    x = 209,242.99

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Why These Related Problems?

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