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Finding the Fourth Proportional to 261,784.34, 392,313.21 and 119,281.35

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Solution

The fourth proportional to 261,784.34, 392,313.21 and 119,281.35 is: 178,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,784.34 : 392,313.21 = 119,281.35 : x
  2. Step 2: Convert to fraction form
    261,784.34/392,313.21 = 119,281.35/x
  3. Step 3: Cross multiply
    261,784.34x = 392,313.21 × 119,281.35
  4. Step 4: Simplify right side
    261,784.34x = 46,795,649,311.63
  5. Step 5: Solve for x
    x = 46,795,649,311.63/261,784.34
  6. Step 6: Final answer
    x = 178,756.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.