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Finding the Fourth Proportional to 156,146, 234,225.48 and 45,338

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Solution

The fourth proportional to 156,146, 234,225.48 and 45,338 is: 68,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,146 : 234,225.48 = 45,338 : x
  2. Step 2: Convert to fraction form
    156,146/234,225.48 = 45,338/x
  3. Step 3: Cross multiply
    156,146x = 234,225.48 × 45,338
  4. Step 4: Simplify right side
    156,146x = 10,619,314,812.24
  5. Step 5: Solve for x
    x = 10,619,314,812.24/156,146
  6. Step 6: Final answer
    x = 68,008.88

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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.