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Finding the Fourth Proportional to 340,020, 510,026.96 and 126,780.66

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Solution

The fourth proportional to 340,020, 510,026.96 and 126,780.66 is: 190,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,020 : 510,026.96 = 126,780.66 : x
  2. Step 2: Convert to fraction form
    340,020/510,026.96 = 126,780.66/x
  3. Step 3: Cross multiply
    340,020x = 510,026.96 × 126,780.66
  4. Step 4: Simplify right side
    340,020x = 64,661,554,923.55
  5. Step 5: Solve for x
    x = 64,661,554,923.55/340,020
  6. Step 6: Final answer
    x = 190,169.86

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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.