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Finding the Fourth Proportional to 204,495.40, 306,752.70 and 64,258.60

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Solution

The fourth proportional to 204,495.40, 306,752.70 and 64,258.60 is: 96,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,495.40 : 306,752.70 = 64,258.60 : x
  2. Step 2: Convert to fraction form
    204,495.40/306,752.70 = 64,258.60/x
  3. Step 3: Cross multiply
    204,495.40x = 306,752.70 × 64,258.60
  4. Step 4: Simplify right side
    204,495.40x = 19,711,499,048.22
  5. Step 5: Solve for x
    x = 19,711,499,048.22/204,495.40
  6. Step 6: Final answer
    x = 96,390.92

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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.