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Finding the Fourth Proportional to 255,094.80, 382,314.15 and 155,148.90

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Solution

The fourth proportional to 255,094.80, 382,314.15 and 155,148.90 is: 232,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,094.80 : 382,314.15 = 155,148.90 : x
  2. Step 2: Convert to fraction form
    255,094.80/382,314.15 = 155,148.90/x
  3. Step 3: Cross multiply
    255,094.80x = 382,314.15 × 155,148.90
  4. Step 4: Simplify right side
    255,094.80x = 59,315,619,826.94
  5. Step 5: Solve for x
    x = 59,315,619,826.94/255,094.80
  6. Step 6: Final answer
    x = 232,523.83

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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.