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Finding the Fourth Proportional to 214,407.74, 295,892.56 and 118,908.74

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Solution

The fourth proportional to 214,407.74, 295,892.56 and 118,908.74 is: 164,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,407.74 : 295,892.56 = 118,908.74 : x
  2. Step 2: Convert to fraction form
    214,407.74/295,892.56 = 118,908.74/x
  3. Step 3: Cross multiply
    214,407.74x = 295,892.56 × 118,908.74
  4. Step 4: Simplify right side
    214,407.74x = 35,184,211,484.97
  5. Step 5: Solve for x
    x = 35,184,211,484.97/214,407.74
  6. Step 6: Final answer
    x = 164,099.54

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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.