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Finding the Fourth Proportional to 145,214.10, 217,813.29 and 45,362.82

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Solution

The fourth proportional to 145,214.10, 217,813.29 and 45,362.82 is: 68,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,214.10 : 217,813.29 = 45,362.82 : x
  2. Step 2: Convert to fraction form
    145,214.10/217,813.29 = 45,362.82/x
  3. Step 3: Cross multiply
    145,214.10x = 217,813.29 × 45,362.82
  4. Step 4: Simplify right side
    145,214.10x = 9,880,625,067.88
  5. Step 5: Solve for x
    x = 9,880,625,067.88/145,214.10
  6. Step 6: Final answer
    x = 68,041.77

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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.