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Finding the Fourth Proportional to 127,656, 191,483.88 and 57,453.28

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Solution

The fourth proportional to 127,656, 191,483.88 and 57,453.28 is: 86,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,656 : 191,483.88 = 57,453.28 : x
  2. Step 2: Convert to fraction form
    127,656/191,483.88 = 57,453.28/x
  3. Step 3: Cross multiply
    127,656x = 191,483.88 × 57,453.28
  4. Step 4: Simplify right side
    127,656x = 11,001,376,973.13
  5. Step 5: Solve for x
    x = 11,001,376,973.13/127,656
  6. Step 6: Final answer
    x = 86,179.87

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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.