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Finding the Fourth Proportional to 289,374.23, 434,083.80 and 86,954.54

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Solution

The fourth proportional to 289,374.23, 434,083.80 and 86,954.54 is: 130,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,374.23 : 434,083.80 = 86,954.54 : x
  2. Step 2: Convert to fraction form
    289,374.23/434,083.80 = 86,954.54/x
  3. Step 3: Cross multiply
    289,374.23x = 434,083.80 × 86,954.54
  4. Step 4: Simplify right side
    289,374.23x = 37,745,554,980.03
  5. Step 5: Solve for x
    x = 37,745,554,980.03/289,374.23
  6. Step 6: Final answer
    x = 130,438.55

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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.