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Finding the Fourth Proportional to 97,097.78, 133,994.98 and 56,819.28

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Solution

The fourth proportional to 97,097.78, 133,994.98 and 56,819.28 is: 78,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,097.78 : 133,994.98 = 56,819.28 : x
  2. Step 2: Convert to fraction form
    97,097.78/133,994.98 = 56,819.28/x
  3. Step 3: Cross multiply
    97,097.78x = 133,994.98 × 56,819.28
  4. Step 4: Simplify right side
    97,097.78x = 7,613,498,287.21
  5. Step 5: Solve for x
    x = 7,613,498,287.21/97,097.78
  6. Step 6: Final answer
    x = 78,410.63

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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.