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Finding the Fourth Proportional to 201,681.60, 302,522.40 and 199,057.20

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Solution

The fourth proportional to 201,681.60, 302,522.40 and 199,057.20 is: 298,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.60 : 302,522.40 = 199,057.20 : x
  2. Step 2: Convert to fraction form
    201,681.60/302,522.40 = 199,057.20/x
  3. Step 3: Cross multiply
    201,681.60x = 302,522.40 × 199,057.20
  4. Step 4: Simplify right side
    201,681.60x = 60,219,261,881.28
  5. Step 5: Solve for x
    x = 60,219,261,881.28/201,681.60
  6. Step 6: Final answer
    x = 298,585.80

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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.