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Finding the Fourth Proportional to 294,111, 441,232.11 and 107,122.50

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Solution

The fourth proportional to 294,111, 441,232.11 and 107,122.50 is: 160,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,111 : 441,232.11 = 107,122.50 : x
  2. Step 2: Convert to fraction form
    294,111/441,232.11 = 107,122.50/x
  3. Step 3: Cross multiply
    294,111x = 441,232.11 × 107,122.50
  4. Step 4: Simplify right side
    294,111x = 47,265,886,703.48
  5. Step 5: Solve for x
    x = 47,265,886,703.48/294,111
  6. Step 6: Final answer
    x = 160,707.65

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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.