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Finding the Fourth Proportional to 211,061.36, 316,601.76 and 117,496.64

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Solution

The fourth proportional to 211,061.36, 316,601.76 and 117,496.64 is: 176,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,061.36 : 316,601.76 = 117,496.64 : x
  2. Step 2: Convert to fraction form
    211,061.36/316,601.76 = 117,496.64/x
  3. Step 3: Cross multiply
    211,061.36x = 316,601.76 × 117,496.64
  4. Step 4: Simplify right side
    211,061.36x = 37,199,643,018.09
  5. Step 5: Solve for x
    x = 37,199,643,018.09/211,061.36
  6. Step 6: Final answer
    x = 176,250.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.