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Finding the Fourth Proportional to 144,547.28, 199,475.28 and 80,897.36

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Solution

The fourth proportional to 144,547.28, 199,475.28 and 80,897.36 is: 111,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,547.28 : 199,475.28 = 80,897.36 : x
  2. Step 2: Convert to fraction form
    144,547.28/199,475.28 = 80,897.36/x
  3. Step 3: Cross multiply
    144,547.28x = 199,475.28 × 80,897.36
  4. Step 4: Simplify right side
    144,547.28x = 16,137,023,537.26
  5. Step 5: Solve for x
    x = 16,137,023,537.26/144,547.28
  6. Step 6: Final answer
    x = 111,638.38

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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.