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Finding the Fourth Proportional to 243,298, 335,899.47 and 166,942.54

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Solution

The fourth proportional to 243,298, 335,899.47 and 166,942.54 is: 230,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,298 : 335,899.47 = 166,942.54 : x
  2. Step 2: Convert to fraction form
    243,298/335,899.47 = 166,942.54/x
  3. Step 3: Cross multiply
    243,298x = 335,899.47 × 166,942.54
  4. Step 4: Simplify right side
    243,298x = 56,075,910,706.45
  5. Step 5: Solve for x
    x = 56,075,910,706.45/243,298
  6. Step 6: Final answer
    x = 230,482.42

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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.