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Finding the Fourth Proportional to 230,975.48, 346,499.70 and 97,856.60

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Solution

The fourth proportional to 230,975.48, 346,499.70 and 97,856.60 is: 146,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,975.48 : 346,499.70 = 97,856.60 : x
  2. Step 2: Convert to fraction form
    230,975.48/346,499.70 = 97,856.60/x
  3. Step 3: Cross multiply
    230,975.48x = 346,499.70 × 97,856.60
  4. Step 4: Simplify right side
    230,975.48x = 33,907,282,543.02
  5. Step 5: Solve for x
    x = 33,907,282,543.02/230,975.48
  6. Step 6: Final answer
    x = 146,800.36

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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.