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Finding the Fourth Proportional to 177,348.30, 266,022.45 and 142,356.30

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Solution

The fourth proportional to 177,348.30, 266,022.45 and 142,356.30 is: 213,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,348.30 : 266,022.45 = 142,356.30 : x
  2. Step 2: Convert to fraction form
    177,348.30/266,022.45 = 142,356.30/x
  3. Step 3: Cross multiply
    177,348.30x = 266,022.45 × 142,356.30
  4. Step 4: Simplify right side
    177,348.30x = 37,869,971,698.94
  5. Step 5: Solve for x
    x = 37,869,971,698.94/177,348.30
  6. Step 6: Final answer
    x = 213,534.45

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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.