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Finding the Fourth Proportional to 265,258.53, 366,055.74 and 144,399.38

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Solution

The fourth proportional to 265,258.53, 366,055.74 and 144,399.38 is: 199,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,258.53 : 366,055.74 = 144,399.38 : x
  2. Step 2: Convert to fraction form
    265,258.53/366,055.74 = 144,399.38/x
  3. Step 3: Cross multiply
    265,258.53x = 366,055.74 × 144,399.38
  4. Step 4: Simplify right side
    265,258.53x = 52,858,220,071.16
  5. Step 5: Solve for x
    x = 52,858,220,071.16/265,258.53
  6. Step 6: Final answer
    x = 199,270.58

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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.