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Finding the Fourth Proportional to 201,871.60, 302,807.40 and 188,652.40

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Solution

The fourth proportional to 201,871.60, 302,807.40 and 188,652.40 is: 282,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,871.60 : 302,807.40 = 188,652.40 : x
  2. Step 2: Convert to fraction form
    201,871.60/302,807.40 = 188,652.40/x
  3. Step 3: Cross multiply
    201,871.60x = 302,807.40 × 188,652.40
  4. Step 4: Simplify right side
    201,871.60x = 57,125,342,747.76
  5. Step 5: Solve for x
    x = 57,125,342,747.76/201,871.60
  6. Step 6: Final answer
    x = 282,978.60

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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.