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Finding the Fourth Proportional to 183,407.82, 253,147.77 and 111,827.28

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Solution

The fourth proportional to 183,407.82, 253,147.77 and 111,827.28 is: 154,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,407.82 : 253,147.77 = 111,827.28 : x
  2. Step 2: Convert to fraction form
    183,407.82/253,147.77 = 111,827.28/x
  3. Step 3: Cross multiply
    183,407.82x = 253,147.77 × 111,827.28
  4. Step 4: Simplify right side
    183,407.82x = 28,308,826,557.17
  5. Step 5: Solve for x
    x = 28,308,826,557.17/183,407.82
  6. Step 6: Final answer
    x = 154,349.07

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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.