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Finding the Fourth Proportional to 153,602.16, 230,403.40 and 101,245.44

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Solution

The fourth proportional to 153,602.16, 230,403.40 and 101,245.44 is: 151,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,602.16 : 230,403.40 = 101,245.44 : x
  2. Step 2: Convert to fraction form
    153,602.16/230,403.40 = 101,245.44/x
  3. Step 3: Cross multiply
    153,602.16x = 230,403.40 × 101,245.44
  4. Step 4: Simplify right side
    153,602.16x = 23,327,293,610.50
  5. Step 5: Solve for x
    x = 23,327,293,610.50/153,602.16
  6. Step 6: Final answer
    x = 151,868.27

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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.