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Finding the Fourth Proportional to 201,902.40, 302,780.70 and 102,029.40

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Solution

The fourth proportional to 201,902.40, 302,780.70 and 102,029.40 is: 153,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.40 : 302,780.70 = 102,029.40 : x
  2. Step 2: Convert to fraction form
    201,902.40/302,780.70 = 102,029.40/x
  3. Step 3: Cross multiply
    201,902.40x = 302,780.70 × 102,029.40
  4. Step 4: Simplify right side
    201,902.40x = 30,892,533,152.58
  5. Step 5: Solve for x
    x = 30,892,533,152.58/201,902.40
  6. Step 6: Final answer
    x = 153,007.26

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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.