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Finding the Fourth Proportional to 99,102.30, 148,672.65 and 42,942.30

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Solution

The fourth proportional to 99,102.30, 148,672.65 and 42,942.30 is: 64,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,102.30 : 148,672.65 = 42,942.30 : x
  2. Step 2: Convert to fraction form
    99,102.30/148,672.65 = 42,942.30/x
  3. Step 3: Cross multiply
    99,102.30x = 148,672.65 × 42,942.30
  4. Step 4: Simplify right side
    99,102.30x = 6,384,345,538.10
  5. Step 5: Solve for x
    x = 6,384,345,538.10/99,102.30
  6. Step 6: Final answer
    x = 64,421.77

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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.