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Finding the Fourth Proportional to 264,705.54, 365,301.81 and 151,564.74

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Solution

The fourth proportional to 264,705.54, 365,301.81 and 151,564.74 is: 209,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,705.54 : 365,301.81 = 151,564.74 : x
  2. Step 2: Convert to fraction form
    264,705.54/365,301.81 = 151,564.74/x
  3. Step 3: Cross multiply
    264,705.54x = 365,301.81 × 151,564.74
  4. Step 4: Simplify right side
    264,705.54x = 55,366,873,854.18
  5. Step 5: Solve for x
    x = 55,366,873,854.18/264,705.54
  6. Step 6: Final answer
    x = 209,164.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.