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Finding the Fourth Proportional to 230,746, 346,155.58 and 97,627.26

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Solution

The fourth proportional to 230,746, 346,155.58 and 97,627.26 is: 146,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,746 : 346,155.58 = 97,627.26 : x
  2. Step 2: Convert to fraction form
    230,746/346,155.58 = 97,627.26/x
  3. Step 3: Cross multiply
    230,746x = 346,155.58 × 97,627.26
  4. Step 4: Simplify right side
    230,746x = 33,794,220,809.11
  5. Step 5: Solve for x
    x = 33,794,220,809.11/230,746
  6. Step 6: Final answer
    x = 146,456.37

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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.