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Finding the Fourth Proportional to 102,314.54, 153,400.33 and 45,357.47

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Solution

The fourth proportional to 102,314.54, 153,400.33 and 45,357.47 is: 68,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,314.54 : 153,400.33 = 45,357.47 : x
  2. Step 2: Convert to fraction form
    102,314.54/153,400.33 = 45,357.47/x
  3. Step 3: Cross multiply
    102,314.54x = 153,400.33 × 45,357.47
  4. Step 4: Simplify right side
    102,314.54x = 6,957,850,730.91
  5. Step 5: Solve for x
    x = 6,957,850,730.91/102,314.54
  6. Step 6: Final answer
    x = 68,004.51

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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.