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Finding the Fourth Proportional to 357,871.12, 536,673.84 and 105,082

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Solution

The fourth proportional to 357,871.12, 536,673.84 and 105,082 is: 157,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,871.12 : 536,673.84 = 105,082 : x
  2. Step 2: Convert to fraction form
    357,871.12/536,673.84 = 105,082/x
  3. Step 3: Cross multiply
    357,871.12x = 536,673.84 × 105,082
  4. Step 4: Simplify right side
    357,871.12x = 56,394,760,454.88
  5. Step 5: Solve for x
    x = 56,394,760,454.88/357,871.12
  6. Step 6: Final answer
    x = 157,583.99

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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.