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Finding the Fourth Proportional to 177,004.20, 265,506.30 and 142,012.20

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Solution

The fourth proportional to 177,004.20, 265,506.30 and 142,012.20 is: 213,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,004.20 : 265,506.30 = 142,012.20 : x
  2. Step 2: Convert to fraction form
    177,004.20/265,506.30 = 142,012.20/x
  3. Step 3: Cross multiply
    177,004.20x = 265,506.30 × 142,012.20
  4. Step 4: Simplify right side
    177,004.20x = 37,705,133,776.86
  5. Step 5: Solve for x
    x = 37,705,133,776.86/177,004.20
  6. Step 6: Final answer
    x = 213,018.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.