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Finding the Fourth Proportional to 230,977.48, 346,502.70 and 97,858.60

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Solution

The fourth proportional to 230,977.48, 346,502.70 and 97,858.60 is: 146,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,977.48 : 346,502.70 = 97,858.60 : x
  2. Step 2: Convert to fraction form
    230,977.48/346,502.70 = 97,858.60/x
  3. Step 3: Cross multiply
    230,977.48x = 346,502.70 × 97,858.60
  4. Step 4: Simplify right side
    230,977.48x = 33,908,269,118.22
  5. Step 5: Solve for x
    x = 33,908,269,118.22/230,977.48
  6. Step 6: Final answer
    x = 146,803.36

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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.