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Finding the Fourth Proportional to 210,124, 289,971.12 and 134,672.50

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Solution

The fourth proportional to 210,124, 289,971.12 and 134,672.50 is: 185,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124 : 289,971.12 = 134,672.50 : x
  2. Step 2: Convert to fraction form
    210,124/289,971.12 = 134,672.50/x
  3. Step 3: Cross multiply
    210,124x = 289,971.12 × 134,672.50
  4. Step 4: Simplify right side
    210,124x = 39,051,135,658.20
  5. Step 5: Solve for x
    x = 39,051,135,658.20/210,124
  6. Step 6: Final answer
    x = 185,848.05

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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.