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Finding the Fourth Proportional to 191,384.56, 264,106.20 and 106,499.80

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Solution

The fourth proportional to 191,384.56, 264,106.20 and 106,499.80 is: 146,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,384.56 : 264,106.20 = 106,499.80 : x
  2. Step 2: Convert to fraction form
    191,384.56/264,106.20 = 106,499.80/x
  3. Step 3: Cross multiply
    191,384.56x = 264,106.20 × 106,499.80
  4. Step 4: Simplify right side
    191,384.56x = 28,127,257,478.76
  5. Step 5: Solve for x
    x = 28,127,257,478.76/191,384.56
  6. Step 6: Final answer
    x = 146,967.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.