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Finding the Fourth Proportional to 97,411.80, 146,232.90 and 96,720.60

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Solution

The fourth proportional to 97,411.80, 146,232.90 and 96,720.60 is: 145,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,411.80 : 146,232.90 = 96,720.60 : x
  2. Step 2: Convert to fraction form
    97,411.80/146,232.90 = 96,720.60/x
  3. Step 3: Cross multiply
    97,411.80x = 146,232.90 × 96,720.60
  4. Step 4: Simplify right side
    97,411.80x = 14,143,733,827.74
  5. Step 5: Solve for x
    x = 14,143,733,827.74/97,411.80
  6. Step 6: Final answer
    x = 145,195.28

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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.