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Finding the Fourth Proportional to 235,437, 324,892.50 and 133,461

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Solution

The fourth proportional to 235,437, 324,892.50 and 133,461 is: 184,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,437 : 324,892.50 = 133,461 : x
  2. Step 2: Convert to fraction form
    235,437/324,892.50 = 133,461/x
  3. Step 3: Cross multiply
    235,437x = 324,892.50 × 133,461
  4. Step 4: Simplify right side
    235,437x = 43,360,477,942.50
  5. Step 5: Solve for x
    x = 43,360,477,942.50/235,437
  6. Step 6: Final answer
    x = 184,170.19

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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.