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Finding the Fourth Proportional to 242,574.30, 363,343.05 and 201,102.30

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Solution

The fourth proportional to 242,574.30, 363,343.05 and 201,102.30 is: 301,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,574.30 : 363,343.05 = 201,102.30 : x
  2. Step 2: Convert to fraction form
    242,574.30/363,343.05 = 201,102.30/x
  3. Step 3: Cross multiply
    242,574.30x = 363,343.05 × 201,102.30
  4. Step 4: Simplify right side
    242,574.30x = 73,069,123,044.02
  5. Step 5: Solve for x
    x = 73,069,123,044.02/242,574.30
  6. Step 6: Final answer
    x = 301,223.68

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