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Finding the Fourth Proportional to 210,054.59, 289,900.24 and 119,424.23

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Solution

The fourth proportional to 210,054.59, 289,900.24 and 119,424.23 is: 164,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,054.59 : 289,900.24 = 119,424.23 : x
  2. Step 2: Convert to fraction form
    210,054.59/289,900.24 = 119,424.23/x
  3. Step 3: Cross multiply
    210,054.59x = 289,900.24 × 119,424.23
  4. Step 4: Simplify right side
    210,054.59x = 34,621,111,190.75
  5. Step 5: Solve for x
    x = 34,621,111,190.75/210,054.59
  6. Step 6: Final answer
    x = 164,819.59

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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.