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Finding the Fourth Proportional to 150,547.59, 225,945.62 and 75,689.01

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Solution

The fourth proportional to 150,547.59, 225,945.62 and 75,689.01 is: 113,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.59 : 225,945.62 = 75,689.01 : x
  2. Step 2: Convert to fraction form
    150,547.59/225,945.62 = 75,689.01/x
  3. Step 3: Cross multiply
    150,547.59x = 225,945.62 × 75,689.01
  4. Step 4: Simplify right side
    150,547.59x = 17,101,600,197.02
  5. Step 5: Solve for x
    x = 17,101,600,197.02/150,547.59
  6. Step 6: Final answer
    x = 113,595.97

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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.