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Finding the Fourth Proportional to 105,153.44, 157,752.84 and 30,273.08

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Solution

The fourth proportional to 105,153.44, 157,752.84 and 30,273.08 is: 45,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,153.44 : 157,752.84 = 30,273.08 : x
  2. Step 2: Convert to fraction form
    105,153.44/157,752.84 = 30,273.08/x
  3. Step 3: Cross multiply
    105,153.44x = 157,752.84 × 30,273.08
  4. Step 4: Simplify right side
    105,153.44x = 4,775,664,345.55
  5. Step 5: Solve for x
    x = 4,775,664,345.55/105,153.44
  6. Step 6: Final answer
    x = 45,416.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.