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Finding the Fourth Proportional to 132,435.84, 198,784.32 and 97,276.80

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Solution

The fourth proportional to 132,435.84, 198,784.32 and 97,276.80 is: 146,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,435.84 : 198,784.32 = 97,276.80 : x
  2. Step 2: Convert to fraction form
    132,435.84/198,784.32 = 97,276.80/x
  3. Step 3: Cross multiply
    132,435.84x = 198,784.32 × 97,276.80
  4. Step 4: Simplify right side
    132,435.84x = 19,337,102,539.78
  5. Step 5: Solve for x
    x = 19,337,102,539.78/132,435.84
  6. Step 6: Final answer
    x = 146,011.10

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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.