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Finding the Fourth Proportional to 231,099.40, 346,065.90 and 184,443.40

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Solution

The fourth proportional to 231,099.40, 346,065.90 and 184,443.40 is: 276,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,099.40 : 346,065.90 = 184,443.40 : x
  2. Step 2: Convert to fraction form
    231,099.40/346,065.90 = 184,443.40/x
  3. Step 3: Cross multiply
    231,099.40x = 346,065.90 × 184,443.40
  4. Step 4: Simplify right side
    231,099.40x = 63,829,571,220.06
  5. Step 5: Solve for x
    x = 63,829,571,220.06/231,099.40
  6. Step 6: Final answer
    x = 276,199.64

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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.