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Finding the Fourth Proportional to 141,032.64, 194,604.48 and 84,432

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Solution

The fourth proportional to 141,032.64, 194,604.48 and 84,432 is: 116,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,032.64 : 194,604.48 = 84,432 : x
  2. Step 2: Convert to fraction form
    141,032.64/194,604.48 = 84,432/x
  3. Step 3: Cross multiply
    141,032.64x = 194,604.48 × 84,432
  4. Step 4: Simplify right side
    141,032.64x = 16,430,845,455.36
  5. Step 5: Solve for x
    x = 16,430,845,455.36/141,032.64
  6. Step 6: Final answer
    x = 116,503.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.