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Finding the Fourth Proportional to 231,031.40, 346,595.70 and 97,843.10

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Solution

The fourth proportional to 231,031.40, 346,595.70 and 97,843.10 is: 146,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,031.40 : 346,595.70 = 97,843.10 : x
  2. Step 2: Convert to fraction form
    231,031.40/346,595.70 = 97,843.10/x
  3. Step 3: Cross multiply
    231,031.40x = 346,595.70 × 97,843.10
  4. Step 4: Simplify right side
    231,031.40x = 33,911,997,734.67
  5. Step 5: Solve for x
    x = 33,911,997,734.67/231,031.40
  6. Step 6: Final answer
    x = 146,785.23

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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.