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Finding the Fourth Proportional to 209,892.60, 314,838.90 and 110,014.20

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Solution

The fourth proportional to 209,892.60, 314,838.90 and 110,014.20 is: 165,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.60 : 314,838.90 = 110,014.20 : x
  2. Step 2: Convert to fraction form
    209,892.60/314,838.90 = 110,014.20/x
  3. Step 3: Cross multiply
    209,892.60x = 314,838.90 × 110,014.20
  4. Step 4: Simplify right side
    209,892.60x = 34,636,749,712.38
  5. Step 5: Solve for x
    x = 34,636,749,712.38/209,892.60
  6. Step 6: Final answer
    x = 165,021.30

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1.5x scale

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.