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Finding the Fourth Proportional to 381,829.56, 572,699.86 and 101,368.60

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Solution

The fourth proportional to 381,829.56, 572,699.86 and 101,368.60 is: 152,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,829.56 : 572,699.86 = 101,368.60 : x
  2. Step 2: Convert to fraction form
    381,829.56/572,699.86 = 101,368.60/x
  3. Step 3: Cross multiply
    381,829.56x = 572,699.86 × 101,368.60
  4. Step 4: Simplify right side
    381,829.56x = 58,053,783,028.40
  5. Step 5: Solve for x
    x = 58,053,783,028.40/381,829.56
  6. Step 6: Final answer
    x = 152,041.09

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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.