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Finding the Fourth Proportional to 235,837.93, 353,812.25 and 78,066.38

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Solution

The fourth proportional to 235,837.93, 353,812.25 and 78,066.38 is: 117,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,837.93 : 353,812.25 = 78,066.38 : x
  2. Step 2: Convert to fraction form
    235,837.93/353,812.25 = 78,066.38/x
  3. Step 3: Cross multiply
    235,837.93x = 353,812.25 × 78,066.38
  4. Step 4: Simplify right side
    235,837.93x = 27,620,839,397.76
  5. Step 5: Solve for x
    x = 27,620,839,397.76/235,837.93
  6. Step 6: Final answer
    x = 117,117.89

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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.