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Finding the Fourth Proportional to 210,041.96, 289,846.37 and 119,385.34

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Solution

The fourth proportional to 210,041.96, 289,846.37 and 119,385.34 is: 164,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,041.96 : 289,846.37 = 119,385.34 : x
  2. Step 2: Convert to fraction form
    210,041.96/289,846.37 = 119,385.34/x
  3. Step 3: Cross multiply
    210,041.96x = 289,846.37 × 119,385.34
  4. Step 4: Simplify right side
    210,041.96x = 34,603,407,004.06
  5. Step 5: Solve for x
    x = 34,603,407,004.06/210,041.96
  6. Step 6: Final answer
    x = 164,745.21

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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.