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Finding the Fourth Proportional to 209,912.30, 314,868.45 and 201,164.30

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Solution

The fourth proportional to 209,912.30, 314,868.45 and 201,164.30 is: 301,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.30 : 314,868.45 = 201,164.30 : x
  2. Step 2: Convert to fraction form
    209,912.30/314,868.45 = 201,164.30/x
  3. Step 3: Cross multiply
    209,912.30x = 314,868.45 × 201,164.30
  4. Step 4: Simplify right side
    209,912.30x = 63,340,291,336.34
  5. Step 5: Solve for x
    x = 63,340,291,336.34/209,912.30
  6. Step 6: Final answer
    x = 301,746.45

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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.