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Finding the Fourth Proportional to 314,148.66, 433,614.30 and 185,162.10

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Solution

The fourth proportional to 314,148.66, 433,614.30 and 185,162.10 is: 255,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,148.66 : 433,614.30 = 185,162.10 : x
  2. Step 2: Convert to fraction form
    314,148.66/433,614.30 = 185,162.10/x
  3. Step 3: Cross multiply
    314,148.66x = 433,614.30 × 185,162.10
  4. Step 4: Simplify right side
    314,148.66x = 80,288,934,378.03
  5. Step 5: Solve for x
    x = 80,288,934,378.03/314,148.66
  6. Step 6: Final answer
    x = 255,576.24

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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.