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Finding the Fourth Proportional to 211,033.17, 316,275.17 and 160,929

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Solution

The fourth proportional to 211,033.17, 316,275.17 and 160,929 is: 241,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,033.17 : 316,275.17 = 160,929 : x
  2. Step 2: Convert to fraction form
    211,033.17/316,275.17 = 160,929/x
  3. Step 3: Cross multiply
    211,033.17x = 316,275.17 × 160,929
  4. Step 4: Simplify right side
    211,033.17x = 50,897,846,028.29
  5. Step 5: Solve for x
    x = 50,897,846,028.29/211,033.17
  6. Step 6: Final answer
    x = 241,184.10

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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.