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Finding the Fourth Proportional to 205,207.60, 307,811.40 and 200,833.60

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Solution

The fourth proportional to 205,207.60, 307,811.40 and 200,833.60 is: 301,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,207.60 : 307,811.40 = 200,833.60 : x
  2. Step 2: Convert to fraction form
    205,207.60/307,811.40 = 200,833.60/x
  3. Step 3: Cross multiply
    205,207.60x = 307,811.40 × 200,833.60
  4. Step 4: Simplify right side
    205,207.60x = 61,818,871,583.04
  5. Step 5: Solve for x
    x = 61,818,871,583.04/205,207.60
  6. Step 6: Final answer
    x = 301,250.40

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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.