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Finding the Fourth Proportional to 210,275.64, 290,184.30 and 114,785.73

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Solution

The fourth proportional to 210,275.64, 290,184.30 and 114,785.73 is: 158,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,275.64 : 290,184.30 = 114,785.73 : x
  2. Step 2: Convert to fraction form
    210,275.64/290,184.30 = 114,785.73/x
  3. Step 3: Cross multiply
    210,275.64x = 290,184.30 × 114,785.73
  4. Step 4: Simplify right side
    210,275.64x = 33,309,016,710.04
  5. Step 5: Solve for x
    x = 33,309,016,710.04/210,275.64
  6. Step 6: Final answer
    x = 158,406.45

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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.