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Finding the Fourth Proportional to 210,604.74, 290,634.48 and 119,969.10

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Solution

The fourth proportional to 210,604.74, 290,634.48 and 119,969.10 is: 165,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,604.74 : 290,634.48 = 119,969.10 : x
  2. Step 2: Convert to fraction form
    210,604.74/290,634.48 = 119,969.10/x
  3. Step 3: Cross multiply
    210,604.74x = 290,634.48 × 119,969.10
  4. Step 4: Simplify right side
    210,604.74x = 34,867,156,994.57
  5. Step 5: Solve for x
    x = 34,867,156,994.57/210,604.74
  6. Step 6: Final answer
    x = 165,557.32

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1.5x scale

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.