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Finding the Fourth Proportional to 201,352.64, 302,021.96 and 51,594.16

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Solution

The fourth proportional to 201,352.64, 302,021.96 and 51,594.16 is: 77,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.64 : 302,021.96 = 51,594.16 : x
  2. Step 2: Convert to fraction form
    201,352.64/302,021.96 = 51,594.16/x
  3. Step 3: Cross multiply
    201,352.64x = 302,021.96 × 51,594.16
  4. Step 4: Simplify right side
    201,352.64x = 15,582,569,327.75
  5. Step 5: Solve for x
    x = 15,582,569,327.75/201,352.64
  6. Step 6: Final answer
    x = 77,389.45

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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.