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Finding the Fourth Proportional to 104,255.38, 143,873.19 and 56,509.07

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Solution

The fourth proportional to 104,255.38, 143,873.19 and 56,509.07 is: 77,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,255.38 : 143,873.19 = 56,509.07 : x
  2. Step 2: Convert to fraction form
    104,255.38/143,873.19 = 56,509.07/x
  3. Step 3: Cross multiply
    104,255.38x = 143,873.19 × 56,509.07
  4. Step 4: Simplify right side
    104,255.38x = 8,130,140,164.83
  5. Step 5: Solve for x
    x = 8,130,140,164.83/104,255.38
  6. Step 6: Final answer
    x = 77,982.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.