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Finding the Fourth Proportional to 271,931.77, 407,792.76 and 103,363.48

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Solution

The fourth proportional to 271,931.77, 407,792.76 and 103,363.48 is: 155,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,931.77 : 407,792.76 = 103,363.48 : x
  2. Step 2: Convert to fraction form
    271,931.77/407,792.76 = 103,363.48/x
  3. Step 3: Cross multiply
    271,931.77x = 407,792.76 × 103,363.48
  4. Step 4: Simplify right side
    271,931.77x = 42,150,878,792.40
  5. Step 5: Solve for x
    x = 42,150,878,792.40/271,931.77
  6. Step 6: Final answer
    x = 155,005.35

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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.