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Finding the Fourth Proportional to 224,307.14, 309,368.84 and 143,742.16

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Solution

The fourth proportional to 224,307.14, 309,368.84 and 143,742.16 is: 198,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,307.14 : 309,368.84 = 143,742.16 : x
  2. Step 2: Convert to fraction form
    224,307.14/309,368.84 = 143,742.16/x
  3. Step 3: Cross multiply
    224,307.14x = 309,368.84 × 143,742.16
  4. Step 4: Simplify right side
    224,307.14x = 44,469,346,644.94
  5. Step 5: Solve for x
    x = 44,469,346,644.94/224,307.14
  6. Step 6: Final answer
    x = 198,252.03

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1.5x scale

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.