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Finding the Fourth Proportional to 145,194.04, 217,744.98 and 46,675

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Solution

The fourth proportional to 145,194.04, 217,744.98 and 46,675 is: 69,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,194.04 : 217,744.98 = 46,675 : x
  2. Step 2: Convert to fraction form
    145,194.04/217,744.98 = 46,675/x
  3. Step 3: Cross multiply
    145,194.04x = 217,744.98 × 46,675
  4. Step 4: Simplify right side
    145,194.04x = 10,163,246,941.50
  5. Step 5: Solve for x
    x = 10,163,246,941.50/145,194.04
  6. Step 6: Final answer
    x = 69,997.69

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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.