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Finding the Fourth Proportional to 237,884.82, 328,258.10 and 142,389.48

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Solution

The fourth proportional to 237,884.82, 328,258.10 and 142,389.48 is: 196,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,884.82 : 328,258.10 = 142,389.48 : x
  2. Step 2: Convert to fraction form
    237,884.82/328,258.10 = 142,389.48/x
  3. Step 3: Cross multiply
    237,884.82x = 328,258.10 × 142,389.48
  4. Step 4: Simplify right side
    237,884.82x = 46,740,500,164.79
  5. Step 5: Solve for x
    x = 46,740,500,164.79/237,884.82
  6. Step 6: Final answer
    x = 196,483.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.