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Finding the Fourth Proportional to 341,113.30, 470,728.11 and 188,148.20

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Solution

The fourth proportional to 341,113.30, 470,728.11 and 188,148.20 is: 259,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,113.30 : 470,728.11 = 188,148.20 : x
  2. Step 2: Convert to fraction form
    341,113.30/470,728.11 = 188,148.20/x
  3. Step 3: Cross multiply
    341,113.30x = 470,728.11 × 188,148.20
  4. Step 4: Simplify right side
    341,113.30x = 88,566,648,513.21
  5. Step 5: Solve for x
    x = 88,566,648,513.21/341,113.30
  6. Step 6: Final answer
    x = 259,639.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.