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Finding the Fourth Proportional to 195,894.90, 293,830.02 and 116,949.69

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Solution

The fourth proportional to 195,894.90, 293,830.02 and 116,949.69 is: 175,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,894.90 : 293,830.02 = 116,949.69 : x
  2. Step 2: Convert to fraction form
    195,894.90/293,830.02 = 116,949.69/x
  3. Step 3: Cross multiply
    195,894.90x = 293,830.02 × 116,949.69
  4. Step 4: Simplify right side
    195,894.90x = 34,363,329,751.69
  5. Step 5: Solve for x
    x = 34,363,329,751.69/195,894.90
  6. Step 6: Final answer
    x = 175,417.17

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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.