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Finding the Fourth Proportional to 194,413, 268,289.94 and 104,989

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Solution

The fourth proportional to 194,413, 268,289.94 and 104,989 is: 144,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,413 : 268,289.94 = 104,989 : x
  2. Step 2: Convert to fraction form
    194,413/268,289.94 = 104,989/x
  3. Step 3: Cross multiply
    194,413x = 268,289.94 × 104,989
  4. Step 4: Simplify right side
    194,413x = 28,167,492,510.66
  5. Step 5: Solve for x
    x = 28,167,492,510.66/194,413
  6. Step 6: Final answer
    x = 144,884.82

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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.