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Finding the Fourth Proportional to 209,323.10, 314,057.55 and 91,079.30

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Solution

The fourth proportional to 209,323.10, 314,057.55 and 91,079.30 is: 136,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.10 : 314,057.55 = 91,079.30 : x
  2. Step 2: Convert to fraction form
    209,323.10/314,057.55 = 91,079.30/x
  3. Step 3: Cross multiply
    209,323.10x = 314,057.55 × 91,079.30
  4. Step 4: Simplify right side
    209,323.10x = 28,604,141,813.72
  5. Step 5: Solve for x
    x = 28,604,141,813.72/209,323.10
  6. Step 6: Final answer
    x = 136,650.67

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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.