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Finding the Fourth Proportional to 255,851.20, 383,452.80 and 97,868.80

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Solution

The fourth proportional to 255,851.20, 383,452.80 and 97,868.80 is: 146,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,851.20 : 383,452.80 = 97,868.80 : x
  2. Step 2: Convert to fraction form
    255,851.20/383,452.80 = 97,868.80/x
  3. Step 3: Cross multiply
    255,851.20x = 383,452.80 × 97,868.80
  4. Step 4: Simplify right side
    255,851.20x = 37,528,065,392.64
  5. Step 5: Solve for x
    x = 37,528,065,392.64/255,851.20
  6. Step 6: Final answer
    x = 146,679.26

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1.5x scale

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.