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Finding the Fourth Proportional to 237,776.46, 328,141.72 and 142,264.78

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Solution

The fourth proportional to 237,776.46, 328,141.72 and 142,264.78 is: 196,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,776.46 : 328,141.72 = 142,264.78 : x
  2. Step 2: Convert to fraction form
    237,776.46/328,141.72 = 142,264.78/x
  3. Step 3: Cross multiply
    237,776.46x = 328,141.72 × 142,264.78
  4. Step 4: Simplify right side
    237,776.46x = 46,683,009,604.62
  5. Step 5: Solve for x
    x = 46,683,009,604.62/237,776.46
  6. Step 6: Final answer
    x = 196,331.50

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