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Finding the Fourth Proportional to 201,208, 302,068.09 and 130,426.80

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Solution

The fourth proportional to 201,208, 302,068.09 and 130,426.80 is: 195,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208 : 302,068.09 = 130,426.80 : x
  2. Step 2: Convert to fraction form
    201,208/302,068.09 = 130,426.80/x
  3. Step 3: Cross multiply
    201,208x = 302,068.09 × 130,426.80
  4. Step 4: Simplify right side
    201,208x = 39,397,774,360.81
  5. Step 5: Solve for x
    x = 39,397,774,360.81/201,208
  6. Step 6: Final answer
    x = 195,806.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.