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Finding the Fourth Proportional to 194,899.68, 269,219.70 and 156,802.68

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Solution

The fourth proportional to 194,899.68, 269,219.70 and 156,802.68 is: 216,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,899.68 : 269,219.70 = 156,802.68 : x
  2. Step 2: Convert to fraction form
    194,899.68/269,219.70 = 156,802.68/x
  3. Step 3: Cross multiply
    194,899.68x = 269,219.70 × 156,802.68
  4. Step 4: Simplify right side
    194,899.68x = 42,214,370,468.80
  5. Step 5: Solve for x
    x = 42,214,370,468.80/194,899.68
  6. Step 6: Final answer
    x = 216,595.38

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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.