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Finding the Fourth Proportional to 138,690.20, 208,035.30 and 103,698.20

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Solution

The fourth proportional to 138,690.20, 208,035.30 and 103,698.20 is: 155,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,690.20 : 208,035.30 = 103,698.20 : x
  2. Step 2: Convert to fraction form
    138,690.20/208,035.30 = 103,698.20/x
  3. Step 3: Cross multiply
    138,690.20x = 208,035.30 × 103,698.20
  4. Step 4: Simplify right side
    138,690.20x = 21,572,886,146.46
  5. Step 5: Solve for x
    x = 21,572,886,146.46/138,690.20
  6. Step 6: Final answer
    x = 155,547.30

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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.