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Finding the Fourth Proportional to 314,153.45, 471,273.98 and 100,927.83

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Solution

The fourth proportional to 314,153.45, 471,273.98 and 100,927.83 is: 151,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,153.45 : 471,273.98 = 100,927.83 : x
  2. Step 2: Convert to fraction form
    314,153.45/471,273.98 = 100,927.83/x
  3. Step 3: Cross multiply
    314,153.45x = 471,273.98 × 100,927.83
  4. Step 4: Simplify right side
    314,153.45x = 47,564,659,632.22
  5. Step 5: Solve for x
    x = 47,564,659,632.22/314,153.45
  6. Step 6: Final answer
    x = 151,405.82

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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.