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Finding the Fourth Proportional to 105,098.60, 157,647.90 and 49,802.60

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Solution

The fourth proportional to 105,098.60, 157,647.90 and 49,802.60 is: 74,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.60 : 157,647.90 = 49,802.60 : x
  2. Step 2: Convert to fraction form
    105,098.60/157,647.90 = 49,802.60/x
  3. Step 3: Cross multiply
    105,098.60x = 157,647.90 × 49,802.60
  4. Step 4: Simplify right side
    105,098.60x = 7,851,275,304.54
  5. Step 5: Solve for x
    x = 7,851,275,304.54/105,098.60
  6. Step 6: Final answer
    x = 74,703.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.