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Finding the Fourth Proportional to 164,114.88, 226,478.53 and 88,663.38

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Solution

The fourth proportional to 164,114.88, 226,478.53 and 88,663.38 is: 122,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,114.88 : 226,478.53 = 88,663.38 : x
  2. Step 2: Convert to fraction form
    164,114.88/226,478.53 = 88,663.38/x
  3. Step 3: Cross multiply
    164,114.88x = 226,478.53 × 88,663.38
  4. Step 4: Simplify right side
    164,114.88x = 20,080,351,967.23
  5. Step 5: Solve for x
    x = 20,080,351,967.23/164,114.88
  6. Step 6: Final answer
    x = 122,355.46

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1.5x scale

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.