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Finding the Fourth Proportional to 273,068, 409,671.14 and 76,076

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Solution

The fourth proportional to 273,068, 409,671.14 and 76,076 is: 114,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,068 : 409,671.14 = 76,076 : x
  2. Step 2: Convert to fraction form
    273,068/409,671.14 = 76,076/x
  3. Step 3: Cross multiply
    273,068x = 409,671.14 × 76,076
  4. Step 4: Simplify right side
    273,068x = 31,166,141,646.64
  5. Step 5: Solve for x
    x = 31,166,141,646.64/273,068
  6. Step 6: Final answer
    x = 114,133.26

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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.