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Finding the Fourth Proportional to 107,810.10, 161,715.15 and 82,898.10

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Solution

The fourth proportional to 107,810.10, 161,715.15 and 82,898.10 is: 124,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,810.10 : 161,715.15 = 82,898.10 : x
  2. Step 2: Convert to fraction form
    107,810.10/161,715.15 = 82,898.10/x
  3. Step 3: Cross multiply
    107,810.10x = 161,715.15 × 82,898.10
  4. Step 4: Simplify right side
    107,810.10x = 13,405,878,676.22
  5. Step 5: Solve for x
    x = 13,405,878,676.22/107,810.10
  6. Step 6: Final answer
    x = 124,347.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.