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Finding the Fourth Proportional to 127,851.84, 191,880.48 and 57,737.28

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Solution

The fourth proportional to 127,851.84, 191,880.48 and 57,737.28 is: 86,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,851.84 : 191,880.48 = 57,737.28 : x
  2. Step 2: Convert to fraction form
    127,851.84/191,880.48 = 57,737.28/x
  3. Step 3: Cross multiply
    127,851.84x = 191,880.48 × 57,737.28
  4. Step 4: Simplify right side
    127,851.84x = 11,078,657,000.29
  5. Step 5: Solve for x
    x = 11,078,657,000.29/127,851.84
  6. Step 6: Final answer
    x = 86,652.31

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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.