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Finding the Fourth Proportional to 237,782.22, 328,141.80 and 130,354.44

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Solution

The fourth proportional to 237,782.22, 328,141.80 and 130,354.44 is: 179,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,782.22 : 328,141.80 = 130,354.44 : x
  2. Step 2: Convert to fraction form
    237,782.22/328,141.80 = 130,354.44/x
  3. Step 3: Cross multiply
    237,782.22x = 328,141.80 × 130,354.44
  4. Step 4: Simplify right side
    237,782.22x = 42,774,740,579.59
  5. Step 5: Solve for x
    x = 42,774,740,579.59/237,782.22
  6. Step 6: Final answer
    x = 179,890.41

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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.