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Finding the Fourth Proportional to 210,460.28, 290,441.56 and 114,973.12

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Solution

The fourth proportional to 210,460.28, 290,441.56 and 114,973.12 is: 158,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,460.28 : 290,441.56 = 114,973.12 : x
  2. Step 2: Convert to fraction form
    210,460.28/290,441.56 = 114,973.12/x
  3. Step 3: Cross multiply
    210,460.28x = 290,441.56 × 114,973.12
  4. Step 4: Simplify right side
    210,460.28x = 33,392,972,330.87
  5. Step 5: Solve for x
    x = 33,392,972,330.87/210,460.28
  6. Step 6: Final answer
    x = 158,666.39

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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.