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Finding the Fourth Proportional to 185,259, 277,888.50 and 45,018.04

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Solution

The fourth proportional to 185,259, 277,888.50 and 45,018.04 is: 67,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,259 : 277,888.50 = 45,018.04 : x
  2. Step 2: Convert to fraction form
    185,259/277,888.50 = 45,018.04/x
  3. Step 3: Cross multiply
    185,259x = 277,888.50 × 45,018.04
  4. Step 4: Simplify right side
    185,259x = 12,509,995,608.54
  5. Step 5: Solve for x
    x = 12,509,995,608.54/185,259
  6. Step 6: Final answer
    x = 67,527.06

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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.