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Finding the Fourth Proportional to 277,802.37, 416,734.31 and 109,300.50

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Solution

The fourth proportional to 277,802.37, 416,734.31 and 109,300.50 is: 163,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,802.37 : 416,734.31 = 109,300.50 : x
  2. Step 2: Convert to fraction form
    277,802.37/416,734.31 = 109,300.50/x
  3. Step 3: Cross multiply
    277,802.37x = 416,734.31 × 109,300.50
  4. Step 4: Simplify right side
    277,802.37x = 45,549,267,903.65
  5. Step 5: Solve for x
    x = 45,549,267,903.65/277,802.37
  6. Step 6: Final answer
    x = 163,962.85

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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.