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Finding the Fourth Proportional to 265,953.10, 366,965.06 and 158,533.16

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Solution

The fourth proportional to 265,953.10, 366,965.06 and 158,533.16 is: 218,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,953.10 : 366,965.06 = 158,533.16 : x
  2. Step 2: Convert to fraction form
    265,953.10/366,965.06 = 158,533.16/x
  3. Step 3: Cross multiply
    265,953.10x = 366,965.06 × 158,533.16
  4. Step 4: Simplify right side
    265,953.10x = 58,176,130,571.39
  5. Step 5: Solve for x
    x = 58,176,130,571.39/265,953.10
  6. Step 6: Final answer
    x = 218,745.83

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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.