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Finding the Fourth Proportional to 214,165, 295,554.18 and 118,662.76

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Solution

The fourth proportional to 214,165, 295,554.18 and 118,662.76 is: 163,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,165 : 295,554.18 = 118,662.76 : x
  2. Step 2: Convert to fraction form
    214,165/295,554.18 = 118,662.76/x
  3. Step 3: Cross multiply
    214,165x = 295,554.18 × 118,662.76
  4. Step 4: Simplify right side
    214,165x = 35,071,274,728.34
  5. Step 5: Solve for x
    x = 35,071,274,728.34/214,165
  6. Step 6: Final answer
    x = 163,758.20

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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.