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Finding the Fourth Proportional to 196,762.32, 295,300.80 and 102,019.41

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Solution

The fourth proportional to 196,762.32, 295,300.80 and 102,019.41 is: 153,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,762.32 : 295,300.80 = 102,019.41 : x
  2. Step 2: Convert to fraction form
    196,762.32/295,300.80 = 102,019.41/x
  3. Step 3: Cross multiply
    196,762.32x = 295,300.80 × 102,019.41
  4. Step 4: Simplify right side
    196,762.32x = 30,126,413,388.53
  5. Step 5: Solve for x
    x = 30,126,413,388.53/196,762.32
  6. Step 6: Final answer
    x = 153,110.68

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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.