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Finding the Fourth Proportional to 214,459.38, 295,963.65 and 118,966.14

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Solution

The fourth proportional to 214,459.38, 295,963.65 and 118,966.14 is: 164,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,459.38 : 295,963.65 = 118,966.14 : x
  2. Step 2: Convert to fraction form
    214,459.38/295,963.65 = 118,966.14/x
  3. Step 3: Cross multiply
    214,459.38x = 295,963.65 × 118,966.14
  4. Step 4: Simplify right side
    214,459.38x = 35,209,653,020.81
  5. Step 5: Solve for x
    x = 35,209,653,020.81/214,459.38
  6. Step 6: Final answer
    x = 164,178.66

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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.