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Finding the Fourth Proportional to 295,260.80, 442,804.80 and 105,699.20

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Solution

The fourth proportional to 295,260.80, 442,804.80 and 105,699.20 is: 158,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,260.80 : 442,804.80 = 105,699.20 : x
  2. Step 2: Convert to fraction form
    295,260.80/442,804.80 = 105,699.20/x
  3. Step 3: Cross multiply
    295,260.80x = 442,804.80 × 105,699.20
  4. Step 4: Simplify right side
    295,260.80x = 46,804,113,116.16
  5. Step 5: Solve for x
    x = 46,804,113,116.16/295,260.80
  6. Step 6: Final answer
    x = 158,517.87

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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.