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Finding the Fourth Proportional to 357,764.42, 536,641.16 and 91,522.68

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Solution

The fourth proportional to 357,764.42, 536,641.16 and 91,522.68 is: 137,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,764.42 : 536,641.16 = 91,522.68 : x
  2. Step 2: Convert to fraction form
    357,764.42/536,641.16 = 91,522.68/x
  3. Step 3: Cross multiply
    357,764.42x = 536,641.16 × 91,522.68
  4. Step 4: Simplify right side
    357,764.42x = 49,114,836,703.90
  5. Step 5: Solve for x
    x = 49,114,836,703.90/357,764.42
  6. Step 6: Final answer
    x = 137,282.62

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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.