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Finding the Fourth Proportional to 224,417.14, 309,653.29 and 133,781.54

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Solution

The fourth proportional to 224,417.14, 309,653.29 and 133,781.54 is: 184,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,417.14 : 309,653.29 = 133,781.54 : x
  2. Step 2: Convert to fraction form
    224,417.14/309,653.29 = 133,781.54/x
  3. Step 3: Cross multiply
    224,417.14x = 309,653.29 × 133,781.54
  4. Step 4: Simplify right side
    224,417.14x = 41,425,894,357.74
  5. Step 5: Solve for x
    x = 41,425,894,357.74/224,417.14
  6. Step 6: Final answer
    x = 184,593.27

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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.