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Finding the Fourth Proportional to 101,643.94, 152,339.40 and 65,525.15

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Solution

The fourth proportional to 101,643.94, 152,339.40 and 65,525.15 is: 98,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,643.94 : 152,339.40 = 65,525.15 : x
  2. Step 2: Convert to fraction form
    101,643.94/152,339.40 = 65,525.15/x
  3. Step 3: Cross multiply
    101,643.94x = 152,339.40 × 65,525.15
  4. Step 4: Simplify right side
    101,643.94x = 9,982,062,171.04
  5. Step 5: Solve for x
    x = 9,982,062,171.04/101,643.94
  6. Step 6: Final answer
    x = 98,206.17

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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.