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Finding the Fourth Proportional to 145,726.30, 218,589.45 and 47,230.30

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Solution

The fourth proportional to 145,726.30, 218,589.45 and 47,230.30 is: 70,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,726.30 : 218,589.45 = 47,230.30 : x
  2. Step 2: Convert to fraction form
    145,726.30/218,589.45 = 47,230.30/x
  3. Step 3: Cross multiply
    145,726.30x = 218,589.45 × 47,230.30
  4. Step 4: Simplify right side
    145,726.30x = 10,324,045,300.34
  5. Step 5: Solve for x
    x = 10,324,045,300.34/145,726.30
  6. Step 6: Final answer
    x = 70,845.45

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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.