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Finding the Fourth Proportional to 214,460.38, 295,965.03 and 118,967.14

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Solution

The fourth proportional to 214,460.38, 295,965.03 and 118,967.14 is: 164,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,460.38 : 295,965.03 = 118,967.14 : x
  2. Step 2: Convert to fraction form
    214,460.38/295,965.03 = 118,967.14/x
  3. Step 3: Cross multiply
    214,460.38x = 295,965.03 × 118,967.14
  4. Step 4: Simplify right side
    214,460.38x = 35,210,113,159.11
  5. Step 5: Solve for x
    x = 35,210,113,159.11/214,460.38
  6. Step 6: Final answer
    x = 164,180.04

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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.