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Finding the Fourth Proportional to 230,975.30, 346,592.55 and 97,832.90

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Solution

The fourth proportional to 230,975.30, 346,592.55 and 97,832.90 is: 146,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,975.30 : 346,592.55 = 97,832.90 : x
  2. Step 2: Convert to fraction form
    230,975.30/346,592.55 = 97,832.90/x
  3. Step 3: Cross multiply
    230,975.30x = 346,592.55 × 97,832.90
  4. Step 4: Simplify right side
    230,975.30x = 33,908,154,284.90
  5. Step 5: Solve for x
    x = 33,908,154,284.90/230,975.30
  6. Step 6: Final answer
    x = 146,804.24

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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.