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Finding the Fourth Proportional to 255,078.30, 382,289.40 and 155,132.40

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Solution

The fourth proportional to 255,078.30, 382,289.40 and 155,132.40 is: 232,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,078.30 : 382,289.40 = 155,132.40 : x
  2. Step 2: Convert to fraction form
    255,078.30/382,289.40 = 155,132.40/x
  3. Step 3: Cross multiply
    255,078.30x = 382,289.40 × 155,132.40
  4. Step 4: Simplify right side
    255,078.30x = 59,305,472,116.56
  5. Step 5: Solve for x
    x = 59,305,472,116.56/255,078.30
  6. Step 6: Final answer
    x = 232,499.09

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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.