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Finding the Fourth Proportional to 105,470.92, 158,239.50 and 46,356.28

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Solution

The fourth proportional to 105,470.92, 158,239.50 and 46,356.28 is: 69,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,470.92 : 158,239.50 = 46,356.28 : x
  2. Step 2: Convert to fraction form
    105,470.92/158,239.50 = 46,356.28/x
  3. Step 3: Cross multiply
    105,470.92x = 158,239.50 × 46,356.28
  4. Step 4: Simplify right side
    105,470.92x = 7,335,394,569.06
  5. Step 5: Solve for x
    x = 7,335,394,569.06/105,470.92
  6. Step 6: Final answer
    x = 69,548.98

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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.