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Finding the Fourth Proportional to 378,259.68, 567,391.35 and 112,025.25

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Solution

The fourth proportional to 378,259.68, 567,391.35 and 112,025.25 is: 168,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,259.68 : 567,391.35 = 112,025.25 : x
  2. Step 2: Convert to fraction form
    378,259.68/567,391.35 = 112,025.25/x
  3. Step 3: Cross multiply
    378,259.68x = 567,391.35 × 112,025.25
  4. Step 4: Simplify right side
    378,259.68x = 63,562,157,831.59
  5. Step 5: Solve for x
    x = 63,562,157,831.59/378,259.68
  6. Step 6: Final answer
    x = 168,038.42

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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.