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Finding the Fourth Proportional to 255,193.76, 382,876.50 and 113,019.32

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Solution

The fourth proportional to 255,193.76, 382,876.50 and 113,019.32 is: 169,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,193.76 : 382,876.50 = 113,019.32 : x
  2. Step 2: Convert to fraction form
    255,193.76/382,876.50 = 113,019.32/x
  3. Step 3: Cross multiply
    255,193.76x = 382,876.50 × 113,019.32
  4. Step 4: Simplify right side
    255,193.76x = 43,272,439,759.60
  5. Step 5: Solve for x
    x = 43,272,439,759.60/255,193.76
  6. Step 6: Final answer
    x = 169,567.00

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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.