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Finding the Fourth Proportional to 202,572.30, 279,548.14 and 111,927.90

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Solution

The fourth proportional to 202,572.30, 279,548.14 and 111,927.90 is: 154,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,572.30 : 279,548.14 = 111,927.90 : x
  2. Step 2: Convert to fraction form
    202,572.30/279,548.14 = 111,927.90/x
  3. Step 3: Cross multiply
    202,572.30x = 279,548.14 × 111,927.90
  4. Step 4: Simplify right side
    202,572.30x = 31,289,236,259.11
  5. Step 5: Solve for x
    x = 31,289,236,259.11/202,572.30
  6. Step 6: Final answer
    x = 154,459.60

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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.