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Finding the Fourth Proportional to 151,192.89, 208,638.41 and 83,216.32

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Solution

The fourth proportional to 151,192.89, 208,638.41 and 83,216.32 is: 114,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,192.89 : 208,638.41 = 83,216.32 : x
  2. Step 2: Convert to fraction form
    151,192.89/208,638.41 = 83,216.32/x
  3. Step 3: Cross multiply
    151,192.89x = 208,638.41 × 83,216.32
  4. Step 4: Simplify right side
    151,192.89x = 17,362,119,492.38
  5. Step 5: Solve for x
    x = 17,362,119,492.38/151,192.89
  6. Step 6: Final answer
    x = 114,834.23

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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.