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Finding the Fourth Proportional to 230,934.84, 346,133.34 and 97,770.84

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Solution

The fourth proportional to 230,934.84, 346,133.34 and 97,770.84 is: 146,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,934.84 : 346,133.34 = 97,770.84 : x
  2. Step 2: Convert to fraction form
    230,934.84/346,133.34 = 97,770.84/x
  3. Step 3: Cross multiply
    230,934.84x = 346,133.34 × 97,770.84
  4. Step 4: Simplify right side
    230,934.84x = 33,841,747,403.81
  5. Step 5: Solve for x
    x = 33,841,747,403.81/230,934.84
  6. Step 6: Final answer
    x = 146,542.41

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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.