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Finding the Fourth Proportional to 237,946.95, 328,394.24 and 142,453.59

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Solution

The fourth proportional to 237,946.95, 328,394.24 and 142,453.59 is: 196,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,946.95 : 328,394.24 = 142,453.59 : x
  2. Step 2: Convert to fraction form
    237,946.95/328,394.24 = 142,453.59/x
  3. Step 3: Cross multiply
    237,946.95x = 328,394.24 × 142,453.59
  4. Step 4: Simplify right side
    237,946.95x = 46,780,937,711.05
  5. Step 5: Solve for x
    x = 46,780,937,711.05/237,946.95
  6. Step 6: Final answer
    x = 196,602.38

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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.