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Finding the Fourth Proportional to 114,290.10, 171,046.35 and 100,293.30

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Solution

The fourth proportional to 114,290.10, 171,046.35 and 100,293.30 is: 150,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,290.10 : 171,046.35 = 100,293.30 : x
  2. Step 2: Convert to fraction form
    114,290.10/171,046.35 = 100,293.30/x
  3. Step 3: Cross multiply
    114,290.10x = 171,046.35 × 100,293.30
  4. Step 4: Simplify right side
    114,290.10x = 17,154,802,894.46
  5. Step 5: Solve for x
    x = 17,154,802,894.46/114,290.10
  6. Step 6: Final answer
    x = 150,098.77

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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.