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Finding the Fourth Proportional to 210,137.96, 289,989.01 and 119,493.93

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Solution

The fourth proportional to 210,137.96, 289,989.01 and 119,493.93 is: 164,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,137.96 : 289,989.01 = 119,493.93 : x
  2. Step 2: Convert to fraction form
    210,137.96/289,989.01 = 119,493.93/x
  3. Step 3: Cross multiply
    210,137.96x = 289,989.01 × 119,493.93
  4. Step 4: Simplify right side
    210,137.96x = 34,651,926,461.71
  5. Step 5: Solve for x
    x = 34,651,926,461.71/210,137.96
  6. Step 6: Final answer
    x = 164,900.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.