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Finding the Fourth Proportional to 238,333.66, 328,763.10 and 142,785.01

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Solution

The fourth proportional to 238,333.66, 328,763.10 and 142,785.01 is: 196,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,333.66 : 328,763.10 = 142,785.01 : x
  2. Step 2: Convert to fraction form
    238,333.66/328,763.10 = 142,785.01/x
  3. Step 3: Cross multiply
    238,333.66x = 328,763.10 × 142,785.01
  4. Step 4: Simplify right side
    238,333.66x = 46,942,442,521.13
  5. Step 5: Solve for x
    x = 46,942,442,521.13/238,333.66
  6. Step 6: Final answer
    x = 196,961.03

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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.