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Finding the Fourth Proportional to 210,457.64, 290,420.72 and 114,945.88

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Solution

The fourth proportional to 210,457.64, 290,420.72 and 114,945.88 is: 158,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,457.64 : 290,420.72 = 114,945.88 : x
  2. Step 2: Convert to fraction form
    210,457.64/290,420.72 = 114,945.88/x
  3. Step 3: Cross multiply
    210,457.64x = 290,420.72 × 114,945.88
  4. Step 4: Simplify right side
    210,457.64x = 33,382,665,018.93
  5. Step 5: Solve for x
    x = 33,382,665,018.93/210,457.64
  6. Step 6: Final answer
    x = 158,619.40

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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.