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Finding the Fourth Proportional to 231,909.48, 347,995.44 and 98,775.86

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Solution

The fourth proportional to 231,909.48, 347,995.44 and 98,775.86 is: 148,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,909.48 : 347,995.44 = 98,775.86 : x
  2. Step 2: Convert to fraction form
    231,909.48/347,995.44 = 98,775.86/x
  3. Step 3: Cross multiply
    231,909.48x = 347,995.44 × 98,775.86
  4. Step 4: Simplify right side
    231,909.48x = 34,373,547,122.10
  5. Step 5: Solve for x
    x = 34,373,547,122.10/231,909.48
  6. Step 6: Final answer
    x = 148,219.67

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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.