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Finding the Fourth Proportional to 194,454, 268,346.72 and 105,030

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Solution

The fourth proportional to 194,454, 268,346.72 and 105,030 is: 144,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,454 : 268,346.72 = 105,030 : x
  2. Step 2: Convert to fraction form
    194,454/268,346.72 = 105,030/x
  3. Step 3: Cross multiply
    194,454x = 268,346.72 × 105,030
  4. Step 4: Simplify right side
    194,454x = 28,184,456,001.60
  5. Step 5: Solve for x
    x = 28,184,456,001.60/194,454
  6. Step 6: Final answer
    x = 144,941.51

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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.