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Finding the Fourth Proportional to 210,074.34, 289,906.50 and 114,584.46

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Solution

The fourth proportional to 210,074.34, 289,906.50 and 114,584.46 is: 158,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,074.34 : 289,906.50 = 114,584.46 : x
  2. Step 2: Convert to fraction form
    210,074.34/289,906.50 = 114,584.46/x
  3. Step 3: Cross multiply
    210,074.34x = 289,906.50 × 114,584.46
  4. Step 4: Simplify right side
    210,074.34x = 33,218,779,752.99
  5. Step 5: Solve for x
    x = 33,218,779,752.99/210,074.34
  6. Step 6: Final answer
    x = 158,128.69

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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.