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Finding the Fourth Proportional to 308,088.30, 462,132.45 and 142,200.30

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Solution

The fourth proportional to 308,088.30, 462,132.45 and 142,200.30 is: 213,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,088.30 : 462,132.45 = 142,200.30 : x
  2. Step 2: Convert to fraction form
    308,088.30/462,132.45 = 142,200.30/x
  3. Step 3: Cross multiply
    308,088.30x = 462,132.45 × 142,200.30
  4. Step 4: Simplify right side
    308,088.30x = 65,715,373,029.74
  5. Step 5: Solve for x
    x = 65,715,373,029.74/308,088.30
  6. Step 6: Final answer
    x = 213,300.45

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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.