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Finding the Fourth Proportional to 306,868.25, 460,308.14 and 85,258.01

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Solution

The fourth proportional to 306,868.25, 460,308.14 and 85,258.01 is: 127,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,868.25 : 460,308.14 = 85,258.01 : x
  2. Step 2: Convert to fraction form
    306,868.25/460,308.14 = 85,258.01/x
  3. Step 3: Cross multiply
    306,868.25x = 460,308.14 × 85,258.01
  4. Step 4: Simplify right side
    306,868.25x = 39,244,955,576.91
  5. Step 5: Solve for x
    x = 39,244,955,576.91/306,868.25
  6. Step 6: Final answer
    x = 127,888.62

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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.