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Finding the Fourth Proportional to 224,200.24, 309,384.12 and 123,590.32

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Solution

The fourth proportional to 224,200.24, 309,384.12 and 123,590.32 is: 170,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,200.24 : 309,384.12 = 123,590.32 : x
  2. Step 2: Convert to fraction form
    224,200.24/309,384.12 = 123,590.32/x
  3. Step 3: Cross multiply
    224,200.24x = 309,384.12 × 123,590.32
  4. Step 4: Simplify right side
    224,200.24x = 38,236,882,393.72
  5. Step 5: Solve for x
    x = 38,236,882,393.72/224,200.24
  6. Step 6: Final answer
    x = 170,547.91

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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.