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Finding the Fourth Proportional to 201,954.13, 302,931.19 and 54,210.13

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Solution

The fourth proportional to 201,954.13, 302,931.19 and 54,210.13 is: 81,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,954.13 : 302,931.19 = 54,210.13 : x
  2. Step 2: Convert to fraction form
    201,954.13/302,931.19 = 54,210.13/x
  3. Step 3: Cross multiply
    201,954.13x = 302,931.19 × 54,210.13
  4. Step 4: Simplify right side
    201,954.13x = 16,421,939,190.95
  5. Step 5: Solve for x
    x = 16,421,939,190.95/201,954.13
  6. Step 6: Final answer
    x = 81,315.19

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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.