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Finding the Fourth Proportional to 105,197.67, 157,702.59 and 38,622.33

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Solution

The fourth proportional to 105,197.67, 157,702.59 and 38,622.33 is: 57,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.67 : 157,702.59 = 38,622.33 : x
  2. Step 2: Convert to fraction form
    105,197.67/157,702.59 = 38,622.33/x
  3. Step 3: Cross multiply
    105,197.67x = 157,702.59 × 38,622.33
  4. Step 4: Simplify right side
    105,197.67x = 6,090,841,472.83
  5. Step 5: Solve for x
    x = 6,090,841,472.83/105,197.67
  6. Step 6: Final answer
    x = 57,899.01

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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.