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Finding the Fourth Proportional to 209,996.30, 314,994.45 and 201,248.30

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Solution

The fourth proportional to 209,996.30, 314,994.45 and 201,248.30 is: 301,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,996.30 : 314,994.45 = 201,248.30 : x
  2. Step 2: Convert to fraction form
    209,996.30/314,994.45 = 201,248.30/x
  3. Step 3: Cross multiply
    209,996.30x = 314,994.45 × 201,248.30
  4. Step 4: Simplify right side
    209,996.30x = 63,392,097,571.94
  5. Step 5: Solve for x
    x = 63,392,097,571.94/209,996.30
  6. Step 6: Final answer
    x = 301,872.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.