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Finding the Fourth Proportional to 182,509.32, 251,860.23 and 101,938.01

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Solution

The fourth proportional to 182,509.32, 251,860.23 and 101,938.01 is: 140,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,509.32 : 251,860.23 = 101,938.01 : x
  2. Step 2: Convert to fraction form
    182,509.32/251,860.23 = 101,938.01/x
  3. Step 3: Cross multiply
    182,509.32x = 251,860.23 × 101,938.01
  4. Step 4: Simplify right side
    182,509.32x = 25,674,129,385.04
  5. Step 5: Solve for x
    x = 25,674,129,385.04/182,509.32
  6. Step 6: Final answer
    x = 140,672.98

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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.