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Finding the Fourth Proportional to 520,185, 780,277.50 and 126,201

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Solution

The fourth proportional to 520,185, 780,277.50 and 126,201 is: 189,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,185 : 780,277.50 = 126,201 : x
  2. Step 2: Convert to fraction form
    520,185/780,277.50 = 126,201/x
  3. Step 3: Cross multiply
    520,185x = 780,277.50 × 126,201
  4. Step 4: Simplify right side
    520,185x = 98,471,800,777.50
  5. Step 5: Solve for x
    x = 98,471,800,777.50/520,185
  6. Step 6: Final answer
    x = 189,301.50

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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.