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Finding the Fourth Proportional to 222,782.98, 334,261.95 and 98,036.50

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Solution

The fourth proportional to 222,782.98, 334,261.95 and 98,036.50 is: 147,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,782.98 : 334,261.95 = 98,036.50 : x
  2. Step 2: Convert to fraction form
    222,782.98/334,261.95 = 98,036.50/x
  3. Step 3: Cross multiply
    222,782.98x = 334,261.95 × 98,036.50
  4. Step 4: Simplify right side
    222,782.98x = 32,769,871,661.18
  5. Step 5: Solve for x
    x = 32,769,871,661.18/222,782.98
  6. Step 6: Final answer
    x = 147,093.25

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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.