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Finding the Fourth Proportional to 210,682, 316,023 and 70,444.27

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Solution

The fourth proportional to 210,682, 316,023 and 70,444.27 is: 105,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,682 : 316,023 = 70,444.27 : x
  2. Step 2: Convert to fraction form
    210,682/316,023 = 70,444.27/x
  3. Step 3: Cross multiply
    210,682x = 316,023 × 70,444.27
  4. Step 4: Simplify right side
    210,682x = 22,262,009,538.21
  5. Step 5: Solve for x
    x = 22,262,009,538.21/210,682
  6. Step 6: Final answer
    x = 105,666.41

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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.