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Finding the Fourth Proportional to 333,348.84, 500,075.10 and 111,681

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Solution

The fourth proportional to 333,348.84, 500,075.10 and 111,681 is: 167,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,348.84 : 500,075.10 = 111,681 : x
  2. Step 2: Convert to fraction form
    333,348.84/500,075.10 = 111,681/x
  3. Step 3: Cross multiply
    333,348.84x = 500,075.10 × 111,681
  4. Step 4: Simplify right side
    333,348.84x = 55,848,887,243.10
  5. Step 5: Solve for x
    x = 55,848,887,243.10/333,348.84
  6. Step 6: Final answer
    x = 167,538.87

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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.