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Finding the Fourth Proportional to 114,894.57, 172,248.90 and 51,668.40

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Solution

The fourth proportional to 114,894.57, 172,248.90 and 51,668.40 is: 77,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,894.57 : 172,248.90 = 51,668.40 : x
  2. Step 2: Convert to fraction form
    114,894.57/172,248.90 = 51,668.40/x
  3. Step 3: Cross multiply
    114,894.57x = 172,248.90 × 51,668.40
  4. Step 4: Simplify right side
    114,894.57x = 8,899,825,064.76
  5. Step 5: Solve for x
    x = 8,899,825,064.76/114,894.57
  6. Step 6: Final answer
    x = 77,460.80

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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.