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Finding the Fourth Proportional to 205,038.88, 282,973.44 and 124,447.84

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Solution

The fourth proportional to 205,038.88, 282,973.44 and 124,447.84 is: 171,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.88 : 282,973.44 = 124,447.84 : x
  2. Step 2: Convert to fraction form
    205,038.88/282,973.44 = 124,447.84/x
  3. Step 3: Cross multiply
    205,038.88x = 282,973.44 × 124,447.84
  4. Step 4: Simplify right side
    205,038.88x = 35,215,433,385.37
  5. Step 5: Solve for x
    x = 35,215,433,385.37/205,038.88
  6. Step 6: Final answer
    x = 171,750.03

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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.