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Finding the Fourth Proportional to 314,149.16, 433,614.98 and 185,162.60

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Solution

The fourth proportional to 314,149.16, 433,614.98 and 185,162.60 is: 255,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,149.16 : 433,614.98 = 185,162.60 : x
  2. Step 2: Convert to fraction form
    314,149.16/433,614.98 = 185,162.60/x
  3. Step 3: Cross multiply
    314,149.16x = 433,614.98 × 185,162.60
  4. Step 4: Simplify right side
    314,149.16x = 80,289,277,095.75
  5. Step 5: Solve for x
    x = 80,289,277,095.75/314,149.16
  6. Step 6: Final answer
    x = 255,576.93

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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.