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Finding the Fourth Proportional to 255,033.20, 382,695.60 and 97,374.80

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Solution

The fourth proportional to 255,033.20, 382,695.60 and 97,374.80 is: 146,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,033.20 : 382,695.60 = 97,374.80 : x
  2. Step 2: Convert to fraction form
    255,033.20/382,695.60 = 97,374.80/x
  3. Step 3: Cross multiply
    255,033.20x = 382,695.60 × 97,374.80
  4. Step 4: Simplify right side
    255,033.20x = 37,264,907,510.88
  5. Step 5: Solve for x
    x = 37,264,907,510.88/255,033.20
  6. Step 6: Final answer
    x = 146,117.87

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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.