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Finding the Fourth Proportional to 307,164.20, 460,746.30 and 129,871.40

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Solution

The fourth proportional to 307,164.20, 460,746.30 and 129,871.40 is: 194,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,164.20 : 460,746.30 = 129,871.40 : x
  2. Step 2: Convert to fraction form
    307,164.20/460,746.30 = 129,871.40/x
  3. Step 3: Cross multiply
    307,164.20x = 460,746.30 × 129,871.40
  4. Step 4: Simplify right side
    307,164.20x = 59,837,767,025.82
  5. Step 5: Solve for x
    x = 59,837,767,025.82/307,164.20
  6. Step 6: Final answer
    x = 194,807.10

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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.