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Finding the Fourth Proportional to 119,226.47, 164,459.48 and 70,795.49

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Solution

The fourth proportional to 119,226.47, 164,459.48 and 70,795.49 is: 97,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,226.47 : 164,459.48 = 70,795.49 : x
  2. Step 2: Convert to fraction form
    119,226.47/164,459.48 = 70,795.49/x
  3. Step 3: Cross multiply
    119,226.47x = 164,459.48 × 70,795.49
  4. Step 4: Simplify right side
    119,226.47x = 11,642,988,295.47
  5. Step 5: Solve for x
    x = 11,642,988,295.47/119,226.47
  6. Step 6: Final answer
    x = 97,654.39

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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.