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Finding the Fourth Proportional to 129,628, 194,442 and 42,076

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Solution

The fourth proportional to 129,628, 194,442 and 42,076 is: 63,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,628 : 194,442 = 42,076 : x
  2. Step 2: Convert to fraction form
    129,628/194,442 = 42,076/x
  3. Step 3: Cross multiply
    129,628x = 194,442 × 42,076
  4. Step 4: Simplify right side
    129,628x = 8,181,341,592
  5. Step 5: Solve for x
    x = 8,181,341,592/129,628
  6. Step 6: Final answer
    x = 63,114

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.