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Finding the Fourth Proportional to 340,201.96, 510,376.84 and 103,538.48

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Solution

The fourth proportional to 340,201.96, 510,376.84 and 103,538.48 is: 155,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,201.96 : 510,376.84 = 103,538.48 : x
  2. Step 2: Convert to fraction form
    340,201.96/510,376.84 = 103,538.48/x
  3. Step 3: Cross multiply
    340,201.96x = 510,376.84 × 103,538.48
  4. Step 4: Simplify right side
    340,201.96x = 52,843,639,430.07
  5. Step 5: Solve for x
    x = 52,843,639,430.07/340,201.96
  6. Step 6: Final answer
    x = 155,330.20

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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.