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Finding the Fourth Proportional to 102,133.68, 153,233.22 and 42,190.32

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Solution

The fourth proportional to 102,133.68, 153,233.22 and 42,190.32 is: 63,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.68 : 153,233.22 = 42,190.32 : x
  2. Step 2: Convert to fraction form
    102,133.68/153,233.22 = 42,190.32/x
  3. Step 3: Cross multiply
    102,133.68x = 153,233.22 × 42,190.32
  4. Step 4: Simplify right side
    102,133.68x = 6,464,958,586.43
  5. Step 5: Solve for x
    x = 6,464,958,586.43/102,133.68
  6. Step 6: Final answer
    x = 63,298.99

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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.