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Finding the Fourth Proportional to 210,457.46, 290,437.66 and 114,970.31

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Solution

The fourth proportional to 210,457.46, 290,437.66 and 114,970.31 is: 158,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,457.46 : 290,437.66 = 114,970.31 : x
  2. Step 2: Convert to fraction form
    210,457.46/290,437.66 = 114,970.31/x
  3. Step 3: Cross multiply
    210,457.46x = 290,437.66 × 114,970.31
  4. Step 4: Simplify right side
    210,457.46x = 33,391,707,805.87
  5. Step 5: Solve for x
    x = 33,391,707,805.87/210,457.46
  6. Step 6: Final answer
    x = 158,662.51

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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.