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Finding the Fourth Proportional to 230,969.30, 346,583.55 and 97,826.90

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Solution

The fourth proportional to 230,969.30, 346,583.55 and 97,826.90 is: 146,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,969.30 : 346,583.55 = 97,826.90 : x
  2. Step 2: Convert to fraction form
    230,969.30/346,583.55 = 97,826.90/x
  3. Step 3: Cross multiply
    230,969.30x = 346,583.55 × 97,826.90
  4. Step 4: Simplify right side
    230,969.30x = 33,905,194,287.50
  5. Step 5: Solve for x
    x = 33,905,194,287.50/230,969.30
  6. Step 6: Final answer
    x = 146,795.24

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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.