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Finding the Fourth Proportional to 193,547.28, 290,246.28 and 75,203.04

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Solution

The fourth proportional to 193,547.28, 290,246.28 and 75,203.04 is: 112,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,547.28 : 290,246.28 = 75,203.04 : x
  2. Step 2: Convert to fraction form
    193,547.28/290,246.28 = 75,203.04/x
  3. Step 3: Cross multiply
    193,547.28x = 290,246.28 × 75,203.04
  4. Step 4: Simplify right side
    193,547.28x = 21,827,402,604.69
  5. Step 5: Solve for x
    x = 21,827,402,604.69/193,547.28
  6. Step 6: Final answer
    x = 112,775.56

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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.