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Finding the Fourth Proportional to 210,066.80, 314,425.80 and 110,084.40

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Solution

The fourth proportional to 210,066.80, 314,425.80 and 110,084.40 is: 164,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,066.80 : 314,425.80 = 110,084.40 : x
  2. Step 2: Convert to fraction form
    210,066.80/314,425.80 = 110,084.40/x
  3. Step 3: Cross multiply
    210,066.80x = 314,425.80 × 110,084.40
  4. Step 4: Simplify right side
    210,066.80x = 34,613,375,537.52
  5. Step 5: Solve for x
    x = 34,613,375,537.52/210,066.80
  6. Step 6: Final answer
    x = 164,773.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.