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Finding the Fourth Proportional to 128,822.84, 177,775.26 and 72,233

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Solution

The fourth proportional to 128,822.84, 177,775.26 and 72,233 is: 99,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,822.84 : 177,775.26 = 72,233 : x
  2. Step 2: Convert to fraction form
    128,822.84/177,775.26 = 72,233/x
  3. Step 3: Cross multiply
    128,822.84x = 177,775.26 × 72,233
  4. Step 4: Simplify right side
    128,822.84x = 12,841,240,355.58
  5. Step 5: Solve for x
    x = 12,841,240,355.58/128,822.84
  6. Step 6: Final answer
    x = 99,681.39

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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.