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Finding the Fourth Proportional to 195,710.46, 270,075.85 and 115,143.17

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Solution

The fourth proportional to 195,710.46, 270,075.85 and 115,143.17 is: 158,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,710.46 : 270,075.85 = 115,143.17 : x
  2. Step 2: Convert to fraction form
    195,710.46/270,075.85 = 115,143.17/x
  3. Step 3: Cross multiply
    195,710.46x = 270,075.85 × 115,143.17
  4. Step 4: Simplify right side
    195,710.46x = 31,097,388,159.07
  5. Step 5: Solve for x
    x = 31,097,388,159.07/195,710.46
  6. Step 6: Final answer
    x = 158,894.87

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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.