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Finding the Fourth Proportional to 98,119.69, 147,201.48 and 35,790.19

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Solution

The fourth proportional to 98,119.69, 147,201.48 and 35,790.19 is: 53,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,119.69 : 147,201.48 = 35,790.19 : x
  2. Step 2: Convert to fraction form
    98,119.69/147,201.48 = 35,790.19/x
  3. Step 3: Cross multiply
    98,119.69x = 147,201.48 × 35,790.19
  4. Step 4: Simplify right side
    98,119.69x = 5,268,368,569.48
  5. Step 5: Solve for x
    x = 5,268,368,569.48/98,119.69
  6. Step 6: Final answer
    x = 53,693.29

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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.