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Finding the Fourth Proportional to 197,611.98, 296,465.13 and 64,492.49

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Solution

The fourth proportional to 197,611.98, 296,465.13 and 64,492.49 is: 96,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,611.98 : 296,465.13 = 64,492.49 : x
  2. Step 2: Convert to fraction form
    197,611.98/296,465.13 = 64,492.49/x
  3. Step 3: Cross multiply
    197,611.98x = 296,465.13 × 64,492.49
  4. Step 4: Simplify right side
    197,611.98x = 19,119,772,949.55
  5. Step 5: Solve for x
    x = 19,119,772,949.55/197,611.98
  6. Step 6: Final answer
    x = 96,754.12

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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.