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Finding the Fourth Proportional to 230,748, 346,158.58 and 97,629.26

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Solution

The fourth proportional to 230,748, 346,158.58 and 97,629.26 is: 146,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,748 : 346,158.58 = 97,629.26 : x
  2. Step 2: Convert to fraction form
    230,748/346,158.58 = 97,629.26/x
  3. Step 3: Cross multiply
    230,748x = 346,158.58 × 97,629.26
  4. Step 4: Simplify right side
    230,748x = 33,795,206,008.05
  5. Step 5: Solve for x
    x = 33,795,206,008.05/230,748
  6. Step 6: Final answer
    x = 146,459.37

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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.