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Finding the Fourth Proportional to 235,461.87, 353,189.90 and 57,970.42

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Solution

The fourth proportional to 235,461.87, 353,189.90 and 57,970.42 is: 86,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,461.87 : 353,189.90 = 57,970.42 : x
  2. Step 2: Convert to fraction form
    235,461.87/353,189.90 = 57,970.42/x
  3. Step 3: Cross multiply
    235,461.87x = 353,189.90 × 57,970.42
  4. Step 4: Simplify right side
    235,461.87x = 20,474,566,104.71
  5. Step 5: Solve for x
    x = 20,474,566,104.71/235,461.87
  6. Step 6: Final answer
    x = 86,954.91

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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.