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Finding the Fourth Proportional to 238,681.62, 358,022.43 and 113,643.54

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Solution

The fourth proportional to 238,681.62, 358,022.43 and 113,643.54 is: 170,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,681.62 : 358,022.43 = 113,643.54 : x
  2. Step 2: Convert to fraction form
    238,681.62/358,022.43 = 113,643.54/x
  3. Step 3: Cross multiply
    238,681.62x = 358,022.43 × 113,643.54
  4. Step 4: Simplify right side
    238,681.62x = 40,686,936,344.60
  5. Step 5: Solve for x
    x = 40,686,936,344.60/238,681.62
  6. Step 6: Final answer
    x = 170,465.31

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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.