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Finding the Fourth Proportional to 199,509.71, 299,096.15 and 92,838.51

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Solution

The fourth proportional to 199,509.71, 299,096.15 and 92,838.51 is: 139,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,509.71 : 299,096.15 = 92,838.51 : x
  2. Step 2: Convert to fraction form
    199,509.71/299,096.15 = 92,838.51/x
  3. Step 3: Cross multiply
    199,509.71x = 299,096.15 × 92,838.51
  4. Step 4: Simplify right side
    199,509.71x = 27,767,640,448.54
  5. Step 5: Solve for x
    x = 27,767,640,448.54/199,509.71
  6. Step 6: Final answer
    x = 139,179.40

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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.