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Finding the Fourth Proportional to 75,689.40, 113,315.40 and 73,502.40

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Solution

The fourth proportional to 75,689.40, 113,315.40 and 73,502.40 is: 110,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689.40 : 113,315.40 = 73,502.40 : x
  2. Step 2: Convert to fraction form
    75,689.40/113,315.40 = 73,502.40/x
  3. Step 3: Cross multiply
    75,689.40x = 113,315.40 × 73,502.40
  4. Step 4: Simplify right side
    75,689.40x = 8,328,953,856.96
  5. Step 5: Solve for x
    x = 8,328,953,856.96/75,689.40
  6. Step 6: Final answer
    x = 110,041.22

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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.