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Finding the Fourth Proportional to 196,575.84, 294,689.16 and 76,605

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Solution

The fourth proportional to 196,575.84, 294,689.16 and 76,605 is: 114,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,575.84 : 294,689.16 = 76,605 : x
  2. Step 2: Convert to fraction form
    196,575.84/294,689.16 = 76,605/x
  3. Step 3: Cross multiply
    196,575.84x = 294,689.16 × 76,605
  4. Step 4: Simplify right side
    196,575.84x = 22,574,663,101.80
  5. Step 5: Solve for x
    x = 22,574,663,101.80/196,575.84
  6. Step 6: Final answer
    x = 114,839.46

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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.