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Finding the Fourth Proportional to 105,198.02, 157,798.42 and 35,077.36

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Solution

The fourth proportional to 105,198.02, 157,798.42 and 35,077.36 is: 52,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,198.02 : 157,798.42 = 35,077.36 : x
  2. Step 2: Convert to fraction form
    105,198.02/157,798.42 = 35,077.36/x
  3. Step 3: Cross multiply
    105,198.02x = 157,798.42 × 35,077.36
  4. Step 4: Simplify right side
    105,198.02x = 5,535,151,985.77
  5. Step 5: Solve for x
    x = 5,535,151,985.77/105,198.02
  6. Step 6: Final answer
    x = 52,616.50

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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.