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Finding the Fourth Proportional to 194,426, 268,307.88 and 105,002

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Solution

The fourth proportional to 194,426, 268,307.88 and 105,002 is: 144,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,426 : 268,307.88 = 105,002 : x
  2. Step 2: Convert to fraction form
    194,426/268,307.88 = 105,002/x
  3. Step 3: Cross multiply
    194,426x = 268,307.88 × 105,002
  4. Step 4: Simplify right side
    194,426x = 28,172,864,015.76
  5. Step 5: Solve for x
    x = 28,172,864,015.76/194,426
  6. Step 6: Final answer
    x = 144,902.76

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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.