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Finding the Fourth Proportional to 237,829.41, 328,214.84 and 142,317.72

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Solution

The fourth proportional to 237,829.41, 328,214.84 and 142,317.72 is: 196,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,829.41 : 328,214.84 = 142,317.72 : x
  2. Step 2: Convert to fraction form
    237,829.41/328,214.84 = 142,317.72/x
  3. Step 3: Cross multiply
    237,829.41x = 328,214.84 × 142,317.72
  4. Step 4: Simplify right side
    237,829.41x = 46,710,786,987.38
  5. Step 5: Solve for x
    x = 46,710,786,987.38/237,829.41
  6. Step 6: Final answer
    x = 196,404.59

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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.