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Finding the Fourth Proportional to 230,999.30, 346,349.10 and 97,843.40

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Solution

The fourth proportional to 230,999.30, 346,349.10 and 97,843.40 is: 146,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,999.30 : 346,349.10 = 97,843.40 : x
  2. Step 2: Convert to fraction form
    230,999.30/346,349.10 = 97,843.40/x
  3. Step 3: Cross multiply
    230,999.30x = 346,349.10 × 97,843.40
  4. Step 4: Simplify right side
    230,999.30x = 33,887,973,530.94
  5. Step 5: Solve for x
    x = 33,887,973,530.94/230,999.30
  6. Step 6: Final answer
    x = 146,701.63

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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.