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Finding the Fourth Proportional to 261,586.50, 360,989.37 and 142,354.50

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Solution

The fourth proportional to 261,586.50, 360,989.37 and 142,354.50 is: 196,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,586.50 : 360,989.37 = 142,354.50 : x
  2. Step 2: Convert to fraction form
    261,586.50/360,989.37 = 142,354.50/x
  3. Step 3: Cross multiply
    261,586.50x = 360,989.37 × 142,354.50
  4. Step 4: Simplify right side
    261,586.50x = 51,388,461,271.67
  5. Step 5: Solve for x
    x = 51,388,461,271.67/261,586.50
  6. Step 6: Final answer
    x = 196,449.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.