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Finding the Fourth Proportional to 241,805.30, 362,578.35 and 101,405.30

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Solution

The fourth proportional to 241,805.30, 362,578.35 and 101,405.30 is: 152,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805.30 : 362,578.35 = 101,405.30 : x
  2. Step 2: Convert to fraction form
    241,805.30/362,578.35 = 101,405.30/x
  3. Step 3: Cross multiply
    241,805.30x = 362,578.35 × 101,405.30
  4. Step 4: Simplify right side
    241,805.30x = 36,767,366,355.26
  5. Step 5: Solve for x
    x = 36,767,366,355.26/241,805.30
  6. Step 6: Final answer
    x = 152,053.60

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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.