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Finding the Fourth Proportional to 110,898.10, 166,347.15 and 97,776.10

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Solution

The fourth proportional to 110,898.10, 166,347.15 and 97,776.10 is: 146,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,898.10 : 166,347.15 = 97,776.10 : x
  2. Step 2: Convert to fraction form
    110,898.10/166,347.15 = 97,776.10/x
  3. Step 3: Cross multiply
    110,898.10x = 166,347.15 × 97,776.10
  4. Step 4: Simplify right side
    110,898.10x = 16,264,775,573.12
  5. Step 5: Solve for x
    x = 16,264,775,573.12/110,898.10
  6. Step 6: Final answer
    x = 146,664.15

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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.