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Finding the Fourth Proportional to 155,235.14, 232,943.06 and 65,271.34

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Solution

The fourth proportional to 155,235.14, 232,943.06 and 65,271.34 is: 97,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,235.14 : 232,943.06 = 65,271.34 : x
  2. Step 2: Convert to fraction form
    155,235.14/232,943.06 = 65,271.34/x
  3. Step 3: Cross multiply
    155,235.14x = 232,943.06 × 65,271.34
  4. Step 4: Simplify right side
    155,235.14x = 15,204,505,075.85
  5. Step 5: Solve for x
    x = 15,204,505,075.85/155,235.14
  6. Step 6: Final answer
    x = 97,945.00

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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.