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Finding the Fourth Proportional to 201,833.50, 278,530.23 and 112,409.50

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Solution

The fourth proportional to 201,833.50, 278,530.23 and 112,409.50 is: 155,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833.50 : 278,530.23 = 112,409.50 : x
  2. Step 2: Convert to fraction form
    201,833.50/278,530.23 = 112,409.50/x
  3. Step 3: Cross multiply
    201,833.50x = 278,530.23 × 112,409.50
  4. Step 4: Simplify right side
    201,833.50x = 31,309,443,889.19
  5. Step 5: Solve for x
    x = 31,309,443,889.19/201,833.50
  6. Step 6: Final answer
    x = 155,125.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.