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Finding the Fourth Proportional to 210,330.92, 290,263.38 and 114,842.60

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Solution

The fourth proportional to 210,330.92, 290,263.38 and 114,842.60 is: 158,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,330.92 : 290,263.38 = 114,842.60 : x
  2. Step 2: Convert to fraction form
    210,330.92/290,263.38 = 114,842.60/x
  3. Step 3: Cross multiply
    210,330.92x = 290,263.38 × 114,842.60
  4. Step 4: Simplify right side
    210,330.92x = 33,334,601,243.99
  5. Step 5: Solve for x
    x = 33,334,601,243.99/210,330.92
  6. Step 6: Final answer
    x = 158,486.45

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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.