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Finding the Fourth Proportional to 109,628.10, 164,114.10 and 97,818.30

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Solution

The fourth proportional to 109,628.10, 164,114.10 and 97,818.30 is: 146,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,628.10 : 164,114.10 = 97,818.30 : x
  2. Step 2: Convert to fraction form
    109,628.10/164,114.10 = 97,818.30/x
  3. Step 3: Cross multiply
    109,628.10x = 164,114.10 × 97,818.30
  4. Step 4: Simplify right side
    109,628.10x = 16,053,362,268.03
  5. Step 5: Solve for x
    x = 16,053,362,268.03/109,628.10
  6. Step 6: Final answer
    x = 146,434.74

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1.5x scale

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.