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Finding the Fourth Proportional to 230,683.80, 346,025.70 and 97,542.84

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Solution

The fourth proportional to 230,683.80, 346,025.70 and 97,542.84 is: 146,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,683.80 : 346,025.70 = 97,542.84 : x
  2. Step 2: Convert to fraction form
    230,683.80/346,025.70 = 97,542.84/x
  3. Step 3: Cross multiply
    230,683.80x = 346,025.70 × 97,542.84
  4. Step 4: Simplify right side
    230,683.80x = 33,752,329,490.99
  5. Step 5: Solve for x
    x = 33,752,329,490.99/230,683.80
  6. Step 6: Final answer
    x = 146,314.26

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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.