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Finding the Fourth Proportional to 235,489.84, 353,185.31 and 77,681.32

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Solution

The fourth proportional to 235,489.84, 353,185.31 and 77,681.32 is: 116,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,489.84 : 353,185.31 = 77,681.32 : x
  2. Step 2: Convert to fraction form
    235,489.84/353,185.31 = 77,681.32/x
  3. Step 3: Cross multiply
    235,489.84x = 353,185.31 × 77,681.32
  4. Step 4: Simplify right side
    235,489.84x = 27,435,900,396.65
  5. Step 5: Solve for x
    x = 27,435,900,396.65/235,489.84
  6. Step 6: Final answer
    x = 116,505.67

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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.