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Finding the Fourth Proportional to 210,578.54, 290,598.44 and 119,942.98

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Solution

The fourth proportional to 210,578.54, 290,598.44 and 119,942.98 is: 165,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,578.54 : 290,598.44 = 119,942.98 : x
  2. Step 2: Convert to fraction form
    210,578.54/290,598.44 = 119,942.98/x
  3. Step 3: Cross multiply
    210,578.54x = 290,598.44 × 119,942.98
  4. Step 4: Simplify right side
    210,578.54x = 34,855,241,550.74
  5. Step 5: Solve for x
    x = 34,855,241,550.74/210,578.54
  6. Step 6: Final answer
    x = 165,521.34

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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.