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Finding the Fourth Proportional to 178,206.33, 245,924.73 and 97,636.91

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Solution

The fourth proportional to 178,206.33, 245,924.73 and 97,636.91 is: 134,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,206.33 : 245,924.73 = 97,636.91 : x
  2. Step 2: Convert to fraction form
    178,206.33/245,924.73 = 97,636.91/x
  3. Step 3: Cross multiply
    178,206.33x = 245,924.73 × 97,636.91
  4. Step 4: Simplify right side
    178,206.33x = 24,011,330,120.60
  5. Step 5: Solve for x
    x = 24,011,330,120.60/178,206.33
  6. Step 6: Final answer
    x = 134,738.93

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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.