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Finding the Fourth Proportional to 193,462.32, 290,353.41 and 98,762.49

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Solution

The fourth proportional to 193,462.32, 290,353.41 and 98,762.49 is: 148,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,462.32 : 290,353.41 = 98,762.49 : x
  2. Step 2: Convert to fraction form
    193,462.32/290,353.41 = 98,762.49/x
  3. Step 3: Cross multiply
    193,462.32x = 290,353.41 × 98,762.49
  4. Step 4: Simplify right side
    193,462.32x = 28,676,025,751.59
  5. Step 5: Solve for x
    x = 28,676,025,751.59/193,462.32
  6. Step 6: Final answer
    x = 148,225.38

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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.