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Finding the Fourth Proportional to 201,865.60, 302,798.40 and 145,878.40

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Solution

The fourth proportional to 201,865.60, 302,798.40 and 145,878.40 is: 218,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.60 : 302,798.40 = 145,878.40 : x
  2. Step 2: Convert to fraction form
    201,865.60/302,798.40 = 145,878.40/x
  3. Step 3: Cross multiply
    201,865.60x = 302,798.40 × 145,878.40
  4. Step 4: Simplify right side
    201,865.60x = 44,171,746,114.56
  5. Step 5: Solve for x
    x = 44,171,746,114.56/201,865.60
  6. Step 6: Final answer
    x = 218,817.60

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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.