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Finding the Fourth Proportional to 177,346.20, 266,019.30 and 174,430.20

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Solution

The fourth proportional to 177,346.20, 266,019.30 and 174,430.20 is: 261,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,346.20 : 266,019.30 = 174,430.20 : x
  2. Step 2: Convert to fraction form
    177,346.20/266,019.30 = 174,430.20/x
  3. Step 3: Cross multiply
    177,346.20x = 266,019.30 × 174,430.20
  4. Step 4: Simplify right side
    177,346.20x = 46,401,799,702.86
  5. Step 5: Solve for x
    x = 46,401,799,702.86/177,346.20
  6. Step 6: Final answer
    x = 261,645.30

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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.