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Finding the Fourth Proportional to 201,778.60, 302,643.60 and 83,437.60

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Solution

The fourth proportional to 201,778.60, 302,643.60 and 83,437.60 is: 125,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,778.60 : 302,643.60 = 83,437.60 : x
  2. Step 2: Convert to fraction form
    201,778.60/302,643.60 = 83,437.60/x
  3. Step 3: Cross multiply
    201,778.60x = 302,643.60 × 83,437.60
  4. Step 4: Simplify right side
    201,778.60x = 25,251,855,639.36
  5. Step 5: Solve for x
    x = 25,251,855,639.36/201,778.60
  6. Step 6: Final answer
    x = 125,146.35

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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.