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Finding the Fourth Proportional to 232,098.51, 320,296.76 and 146,114.38

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Solution

The fourth proportional to 232,098.51, 320,296.76 and 146,114.38 is: 201,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,098.51 : 320,296.76 = 146,114.38 : x
  2. Step 2: Convert to fraction form
    232,098.51/320,296.76 = 146,114.38/x
  3. Step 3: Cross multiply
    232,098.51x = 320,296.76 × 146,114.38
  4. Step 4: Simplify right side
    232,098.51x = 46,799,963,543.03
  5. Step 5: Solve for x
    x = 46,799,963,543.03/232,098.51
  6. Step 6: Final answer
    x = 201,638.36

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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.