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Finding the Fourth Proportional to 133,053.54, 199,627.53 and 83,075.70

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Solution

The fourth proportional to 133,053.54, 199,627.53 and 83,075.70 is: 124,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.54 : 199,627.53 = 83,075.70 : x
  2. Step 2: Convert to fraction form
    133,053.54/199,627.53 = 83,075.70/x
  3. Step 3: Cross multiply
    133,053.54x = 199,627.53 × 83,075.70
  4. Step 4: Simplify right side
    133,053.54x = 16,584,196,794.02
  5. Step 5: Solve for x
    x = 16,584,196,794.02/133,053.54
  6. Step 6: Final answer
    x = 124,643.03

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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.