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Finding the Fourth Proportional to 132,066.60, 197,808.30 and 84,827.40

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Solution

The fourth proportional to 132,066.60, 197,808.30 and 84,827.40 is: 127,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,066.60 : 197,808.30 = 84,827.40 : x
  2. Step 2: Convert to fraction form
    132,066.60/197,808.30 = 84,827.40/x
  3. Step 3: Cross multiply
    132,066.60x = 197,808.30 × 84,827.40
  4. Step 4: Simplify right side
    132,066.60x = 16,779,563,787.42
  5. Step 5: Solve for x
    x = 16,779,563,787.42/132,066.60
  6. Step 6: Final answer
    x = 127,053.80

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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.