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Finding the Fourth Proportional to 265,232.12, 397,702.76 and 105,145.88

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Solution

The fourth proportional to 265,232.12, 397,702.76 and 105,145.88 is: 157,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,232.12 : 397,702.76 = 105,145.88 : x
  2. Step 2: Convert to fraction form
    265,232.12/397,702.76 = 105,145.88/x
  3. Step 3: Cross multiply
    265,232.12x = 397,702.76 × 105,145.88
  4. Step 4: Simplify right side
    265,232.12x = 41,816,804,164.39
  5. Step 5: Solve for x
    x = 41,816,804,164.39/265,232.12
  6. Step 6: Final answer
    x = 157,661.16

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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.