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Finding the Fourth Proportional to 102,582.40, 153,614.40 and 67,331.20

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Solution

The fourth proportional to 102,582.40, 153,614.40 and 67,331.20 is: 100,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582.40 : 153,614.40 = 67,331.20 : x
  2. Step 2: Convert to fraction form
    102,582.40/153,614.40 = 67,331.20/x
  3. Step 3: Cross multiply
    102,582.40x = 153,614.40 × 67,331.20
  4. Step 4: Simplify right side
    102,582.40x = 10,343,041,889.28
  5. Step 5: Solve for x
    x = 10,343,041,889.28/102,582.40
  6. Step 6: Final answer
    x = 100,826.67

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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.