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Finding the Fourth Proportional to 151,075.44, 208,484.28 and 84,006

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Solution

The fourth proportional to 151,075.44, 208,484.28 and 84,006 is: 115,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,075.44 : 208,484.28 = 84,006 : x
  2. Step 2: Convert to fraction form
    151,075.44/208,484.28 = 84,006/x
  3. Step 3: Cross multiply
    151,075.44x = 208,484.28 × 84,006
  4. Step 4: Simplify right side
    151,075.44x = 17,513,930,425.68
  5. Step 5: Solve for x
    x = 17,513,930,425.68/151,075.44
  6. Step 6: Final answer
    x = 115,928.38

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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.