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Finding the Fourth Proportional to 160,643.48, 240,963.41 and 65,852.48

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Solution

The fourth proportional to 160,643.48, 240,963.41 and 65,852.48 is: 98,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,643.48 : 240,963.41 = 65,852.48 : x
  2. Step 2: Convert to fraction form
    160,643.48/240,963.41 = 65,852.48/x
  3. Step 3: Cross multiply
    160,643.48x = 240,963.41 × 65,852.48
  4. Step 4: Simplify right side
    160,643.48x = 15,868,036,603.68
  5. Step 5: Solve for x
    x = 15,868,036,603.68/160,643.48
  6. Step 6: Final answer
    x = 98,777.97

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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.