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Finding the Fourth Proportional to 119,620.24, 165,075.14 and 65,904

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Solution

The fourth proportional to 119,620.24, 165,075.14 and 65,904 is: 90,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,620.24 : 165,075.14 = 65,904 : x
  2. Step 2: Convert to fraction form
    119,620.24/165,075.14 = 65,904/x
  3. Step 3: Cross multiply
    119,620.24x = 165,075.14 × 65,904
  4. Step 4: Simplify right side
    119,620.24x = 10,879,112,026.56
  5. Step 5: Solve for x
    x = 10,879,112,026.56/119,620.24
  6. Step 6: Final answer
    x = 90,947.08

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