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Finding the Fourth Proportional to 230,841.90, 346,311.45 and 97,653.60

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Solution

The fourth proportional to 230,841.90, 346,311.45 and 97,653.60 is: 146,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,841.90 : 346,311.45 = 97,653.60 : x
  2. Step 2: Convert to fraction form
    230,841.90/346,311.45 = 97,653.60/x
  3. Step 3: Cross multiply
    230,841.90x = 346,311.45 × 97,653.60
  4. Step 4: Simplify right side
    230,841.90x = 33,818,559,813.72
  5. Step 5: Solve for x
    x = 33,818,559,813.72/230,841.90
  6. Step 6: Final answer
    x = 146,500.96

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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.