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Finding the Fourth Proportional to 214,095.60, 295,483.40 and 123,433.85

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Solution

The fourth proportional to 214,095.60, 295,483.40 and 123,433.85 is: 170,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,095.60 : 295,483.40 = 123,433.85 : x
  2. Step 2: Convert to fraction form
    214,095.60/295,483.40 = 123,433.85/x
  3. Step 3: Cross multiply
    214,095.60x = 295,483.40 × 123,433.85
  4. Step 4: Simplify right side
    214,095.60x = 36,472,651,578.50
  5. Step 5: Solve for x
    x = 36,472,651,578.50/214,095.60
  6. Step 6: Final answer
    x = 170,356.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.