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Finding the Fourth Proportional to 224,312.74, 309,473.41 and 143,784.66

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Solution

The fourth proportional to 224,312.74, 309,473.41 and 143,784.66 is: 198,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,312.74 : 309,473.41 = 143,784.66 : x
  2. Step 2: Convert to fraction form
    224,312.74/309,473.41 = 143,784.66/x
  3. Step 3: Cross multiply
    224,312.74x = 309,473.41 × 143,784.66
  4. Step 4: Simplify right side
    224,312.74x = 44,497,528,316.97
  5. Step 5: Solve for x
    x = 44,497,528,316.97/224,312.74
  6. Step 6: Final answer
    x = 198,372.72

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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.