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Finding the Fourth Proportional to 230,973.30, 346,589.55 and 97,830.90

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Solution

The fourth proportional to 230,973.30, 346,589.55 and 97,830.90 is: 146,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,973.30 : 346,589.55 = 97,830.90 : x
  2. Step 2: Convert to fraction form
    230,973.30/346,589.55 = 97,830.90/x
  3. Step 3: Cross multiply
    230,973.30x = 346,589.55 × 97,830.90
  4. Step 4: Simplify right side
    230,973.30x = 33,907,167,607.10
  5. Step 5: Solve for x
    x = 33,907,167,607.10/230,973.30
  6. Step 6: Final answer
    x = 146,801.24

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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.