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Finding the Fourth Proportional to 232,013, 320,162.64 and 136,501.16

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Solution

The fourth proportional to 232,013, 320,162.64 and 136,501.16 is: 188,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,013 : 320,162.64 = 136,501.16 : x
  2. Step 2: Convert to fraction form
    232,013/320,162.64 = 136,501.16/x
  3. Step 3: Cross multiply
    232,013x = 320,162.64 × 136,501.16
  4. Step 4: Simplify right side
    232,013x = 43,702,571,748.66
  5. Step 5: Solve for x
    x = 43,702,571,748.66/232,013
  6. Step 6: Final answer
    x = 188,362.60

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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.