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Finding the Fourth Proportional to 214,394.56, 295,864.40 and 118,915.84

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Solution

The fourth proportional to 214,394.56, 295,864.40 and 118,915.84 is: 164,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,394.56 : 295,864.40 = 118,915.84 : x
  2. Step 2: Convert to fraction form
    214,394.56/295,864.40 = 118,915.84/x
  3. Step 3: Cross multiply
    214,394.56x = 295,864.40 × 118,915.84
  4. Step 4: Simplify right side
    214,394.56x = 35,182,963,652.10
  5. Step 5: Solve for x
    x = 35,182,963,652.10/214,394.56
  6. Step 6: Final answer
    x = 164,103.81

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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.