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Finding the Fourth Proportional to 255,180.79, 382,826.54 and 77,683.20

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Solution

The fourth proportional to 255,180.79, 382,826.54 and 77,683.20 is: 116,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,180.79 : 382,826.54 = 77,683.20 : x
  2. Step 2: Convert to fraction form
    255,180.79/382,826.54 = 77,683.20/x
  3. Step 3: Cross multiply
    255,180.79x = 382,826.54 × 77,683.20
  4. Step 4: Simplify right side
    255,180.79x = 29,739,190,672.13
  5. Step 5: Solve for x
    x = 29,739,190,672.13/255,180.79
  6. Step 6: Final answer
    x = 116,541.65

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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.