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Finding the Fourth Proportional to 201,710.35, 302,104.73 and 118,766.35

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Solution

The fourth proportional to 201,710.35, 302,104.73 and 118,766.35 is: 177,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.35 : 302,104.73 = 118,766.35 : x
  2. Step 2: Convert to fraction form
    201,710.35/302,104.73 = 118,766.35/x
  3. Step 3: Cross multiply
    201,710.35x = 302,104.73 × 118,766.35
  4. Step 4: Simplify right side
    201,710.35x = 35,879,875,506.00
  5. Step 5: Solve for x
    x = 35,879,875,506.00/201,710.35
  6. Step 6: Final answer
    x = 177,878.21

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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.