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Finding the Fourth Proportional to 305,152.38, 457,748.73 and 105,492.06

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Solution

The fourth proportional to 305,152.38, 457,748.73 and 105,492.06 is: 158,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,152.38 : 457,748.73 = 105,492.06 : x
  2. Step 2: Convert to fraction form
    305,152.38/457,748.73 = 105,492.06/x
  3. Step 3: Cross multiply
    305,152.38x = 457,748.73 × 105,492.06
  4. Step 4: Simplify right side
    305,152.38x = 48,288,856,490.08
  5. Step 5: Solve for x
    x = 48,288,856,490.08/305,152.38
  6. Step 6: Final answer
    x = 158,245.06

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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.