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Finding the Fourth Proportional to 194,447, 268,337.04 and 105,023

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Solution

The fourth proportional to 194,447, 268,337.04 and 105,023 is: 144,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,447 : 268,337.04 = 105,023 : x
  2. Step 2: Convert to fraction form
    194,447/268,337.04 = 105,023/x
  3. Step 3: Cross multiply
    194,447x = 268,337.04 × 105,023
  4. Step 4: Simplify right side
    194,447x = 28,181,560,951.92
  5. Step 5: Solve for x
    x = 28,181,560,951.92/194,447
  6. Step 6: Final answer
    x = 144,931.84

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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.