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Finding the Fourth Proportional to 128,369, 177,135.60 and 70,999.22

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Solution

The fourth proportional to 128,369, 177,135.60 and 70,999.22 is: 97,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,369 : 177,135.60 = 70,999.22 : x
  2. Step 2: Convert to fraction form
    128,369/177,135.60 = 70,999.22/x
  3. Step 3: Cross multiply
    128,369x = 177,135.60 × 70,999.22
  4. Step 4: Simplify right side
    128,369x = 12,576,489,434.23
  5. Step 5: Solve for x
    x = 12,576,489,434.23/128,369
  6. Step 6: Final answer
    x = 97,971.39

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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.