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Finding the Fourth Proportional to 195,897.67, 293,674.20 and 77,652.01

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Solution

The fourth proportional to 195,897.67, 293,674.20 and 77,652.01 is: 116,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,897.67 : 293,674.20 = 77,652.01 : x
  2. Step 2: Convert to fraction form
    195,897.67/293,674.20 = 77,652.01/x
  3. Step 3: Cross multiply
    195,897.67x = 293,674.20 × 77,652.01
  4. Step 4: Simplify right side
    195,897.67x = 22,804,391,915.14
  5. Step 5: Solve for x
    x = 22,804,391,915.14/195,897.67
  6. Step 6: Final answer
    x = 116,409.71

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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.