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Finding the Fourth Proportional to 232,554.36, 320,838.90 and 146,490.24

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Solution

The fourth proportional to 232,554.36, 320,838.90 and 146,490.24 is: 202,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,554.36 : 320,838.90 = 146,490.24 : x
  2. Step 2: Convert to fraction form
    232,554.36/320,838.90 = 146,490.24/x
  3. Step 3: Cross multiply
    232,554.36x = 320,838.90 × 146,490.24
  4. Step 4: Simplify right side
    232,554.36x = 46,999,767,462.34
  5. Step 5: Solve for x
    x = 46,999,767,462.34/232,554.36
  6. Step 6: Final answer
    x = 202,102.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.