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Finding the Fourth Proportional to 201,707.10, 302,099.85 and 118,763.10

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Solution

The fourth proportional to 201,707.10, 302,099.85 and 118,763.10 is: 177,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.10 : 302,099.85 = 118,763.10 : x
  2. Step 2: Convert to fraction form
    201,707.10/302,099.85 = 118,763.10/x
  3. Step 3: Cross multiply
    201,707.10x = 302,099.85 × 118,763.10
  4. Step 4: Simplify right side
    201,707.10x = 35,878,314,695.54
  5. Step 5: Solve for x
    x = 35,878,314,695.54/201,707.10
  6. Step 6: Final answer
    x = 177,873.34

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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.