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Finding the Fourth Proportional to 210,044.34, 289,913.58 and 125,145

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Solution

The fourth proportional to 210,044.34, 289,913.58 and 125,145 is: 172,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,044.34 : 289,913.58 = 125,145 : x
  2. Step 2: Convert to fraction form
    210,044.34/289,913.58 = 125,145/x
  3. Step 3: Cross multiply
    210,044.34x = 289,913.58 × 125,145
  4. Step 4: Simplify right side
    210,044.34x = 36,281,234,969.10
  5. Step 5: Solve for x
    x = 36,281,234,969.10/210,044.34
  6. Step 6: Final answer
    x = 172,731.31

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