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Finding the Fourth Proportional to 214,693.86, 295,790.16 and 166,128.81

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Solution

The fourth proportional to 214,693.86, 295,790.16 and 166,128.81 is: 228,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,693.86 : 295,790.16 = 166,128.81 : x
  2. Step 2: Convert to fraction form
    214,693.86/295,790.16 = 166,128.81/x
  3. Step 3: Cross multiply
    214,693.86x = 295,790.16 × 166,128.81
  4. Step 4: Simplify right side
    214,693.86x = 49,139,267,290.51
  5. Step 5: Solve for x
    x = 49,139,267,290.51/214,693.86
  6. Step 6: Final answer
    x = 228,880.64

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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.