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Finding the Fourth Proportional to 265,874.64, 366,928.74 and 151,189.20

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Solution

The fourth proportional to 265,874.64, 366,928.74 and 151,189.20 is: 208,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.64 : 366,928.74 = 151,189.20 : x
  2. Step 2: Convert to fraction form
    265,874.64/366,928.74 = 151,189.20/x
  3. Step 3: Cross multiply
    265,874.64x = 366,928.74 × 151,189.20
  4. Step 4: Simplify right side
    265,874.64x = 55,475,662,657.61
  5. Step 5: Solve for x
    x = 55,475,662,657.61/265,874.64
  6. Step 6: Final answer
    x = 208,653.46

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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.