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Finding the Fourth Proportional to 201,705.90, 302,040.45 and 148,829.10

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Solution

The fourth proportional to 201,705.90, 302,040.45 and 148,829.10 is: 222,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.90 : 302,040.45 = 148,829.10 : x
  2. Step 2: Convert to fraction form
    201,705.90/302,040.45 = 148,829.10/x
  3. Step 3: Cross multiply
    201,705.90x = 302,040.45 × 148,829.10
  4. Step 4: Simplify right side
    201,705.90x = 44,952,408,337.10
  5. Step 5: Solve for x
    x = 44,952,408,337.10/201,705.90
  6. Step 6: Final answer
    x = 222,861.15

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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.