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Finding the Fourth Proportional to 255,105.20, 382,803.60 and 97,446.80

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Solution

The fourth proportional to 255,105.20, 382,803.60 and 97,446.80 is: 146,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,105.20 : 382,803.60 = 97,446.80 : x
  2. Step 2: Convert to fraction form
    255,105.20/382,803.60 = 97,446.80/x
  3. Step 3: Cross multiply
    255,105.20x = 382,803.60 × 97,446.80
  4. Step 4: Simplify right side
    255,105.20x = 37,302,985,848.48
  5. Step 5: Solve for x
    x = 37,302,985,848.48/255,105.20
  6. Step 6: Final answer
    x = 146,225.89

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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.