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Finding the Fourth Proportional to 136,412, 204,618 and 37,916

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Solution

The fourth proportional to 136,412, 204,618 and 37,916 is: 56,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,412 : 204,618 = 37,916 : x
  2. Step 2: Convert to fraction form
    136,412/204,618 = 37,916/x
  3. Step 3: Cross multiply
    136,412x = 204,618 × 37,916
  4. Step 4: Simplify right side
    136,412x = 7,758,296,088
  5. Step 5: Solve for x
    x = 7,758,296,088/136,412
  6. Step 6: Final answer
    x = 56,874

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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.