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Finding the Fourth Proportional to 178,212.46, 245,933.19 and 97,643.03

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Solution

The fourth proportional to 178,212.46, 245,933.19 and 97,643.03 is: 134,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,212.46 : 245,933.19 = 97,643.03 : x
  2. Step 2: Convert to fraction form
    178,212.46/245,933.19 = 97,643.03/x
  3. Step 3: Cross multiply
    178,212.46x = 245,933.19 × 97,643.03
  4. Step 4: Simplify right side
    178,212.46x = 24,013,661,849.17
  5. Step 5: Solve for x
    x = 24,013,661,849.17/178,212.46
  6. Step 6: Final answer
    x = 134,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.