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Finding the Fourth Proportional to 201,830.40, 302,745.60 and 96,595.20

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Solution

The fourth proportional to 201,830.40, 302,745.60 and 96,595.20 is: 144,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830.40 : 302,745.60 = 96,595.20 : x
  2. Step 2: Convert to fraction form
    201,830.40/302,745.60 = 96,595.20/x
  3. Step 3: Cross multiply
    201,830.40x = 302,745.60 × 96,595.20
  4. Step 4: Simplify right side
    201,830.40x = 29,243,771,781.12
  5. Step 5: Solve for x
    x = 29,243,771,781.12/201,830.40
  6. Step 6: Final answer
    x = 144,892.80

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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.