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Finding the Fourth Proportional to 357,688.82, 536,531.34 and 91,448.84

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Solution

The fourth proportional to 357,688.82, 536,531.34 and 91,448.84 is: 137,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,688.82 : 536,531.34 = 91,448.84 : x
  2. Step 2: Convert to fraction form
    357,688.82/536,531.34 = 91,448.84/x
  3. Step 3: Cross multiply
    357,688.82x = 536,531.34 × 91,448.84
  4. Step 4: Simplify right side
    357,688.82x = 49,065,168,666.65
  5. Step 5: Solve for x
    x = 49,065,168,666.65/357,688.82
  6. Step 6: Final answer
    x = 137,172.78

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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.