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Finding the Fourth Proportional to 333,417.84, 500,178.60 and 111,750

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Solution

The fourth proportional to 333,417.84, 500,178.60 and 111,750 is: 167,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,417.84 : 500,178.60 = 111,750 : x
  2. Step 2: Convert to fraction form
    333,417.84/500,178.60 = 111,750/x
  3. Step 3: Cross multiply
    333,417.84x = 500,178.60 × 111,750
  4. Step 4: Simplify right side
    333,417.84x = 55,894,958,550
  5. Step 5: Solve for x
    x = 55,894,958,550/333,417.84
  6. Step 6: Final answer
    x = 167,642.37

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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.