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Finding the Fourth Proportional to 230,950.70, 346,166.85 and 97,808.30

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Solution

The fourth proportional to 230,950.70, 346,166.85 and 97,808.30 is: 146,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,950.70 : 346,166.85 = 97,808.30 : x
  2. Step 2: Convert to fraction form
    230,950.70/346,166.85 = 97,808.30/x
  3. Step 3: Cross multiply
    230,950.70x = 346,166.85 × 97,808.30
  4. Step 4: Simplify right side
    230,950.70x = 33,857,991,114.86
  5. Step 5: Solve for x
    x = 33,857,991,114.86/230,950.70
  6. Step 6: Final answer
    x = 146,602.68

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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.