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Finding the Fourth Proportional to 144,041.31, 198,862.16 and 103,858.83

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Solution

The fourth proportional to 144,041.31, 198,862.16 and 103,858.83 is: 143,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,041.31 : 198,862.16 = 103,858.83 : x
  2. Step 2: Convert to fraction form
    144,041.31/198,862.16 = 103,858.83/x
  3. Step 3: Cross multiply
    144,041.31x = 198,862.16 × 103,858.83
  4. Step 4: Simplify right side
    144,041.31x = 20,653,590,749.58
  5. Step 5: Solve for x
    x = 20,653,590,749.58/144,041.31
  6. Step 6: Final answer
    x = 143,386.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.