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Finding the Fourth Proportional to 92,429.10, 138,643.65 and 92,429.10

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Solution

The fourth proportional to 92,429.10, 138,643.65 and 92,429.10 is: 138,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,429.10 : 138,643.65 = 92,429.10 : x
  2. Step 2: Convert to fraction form
    92,429.10/138,643.65 = 92,429.10/x
  3. Step 3: Cross multiply
    92,429.10x = 138,643.65 × 92,429.10
  4. Step 4: Simplify right side
    92,429.10x = 12,814,707,790.22
  5. Step 5: Solve for x
    x = 12,814,707,790.22/92,429.10
  6. Step 6: Final answer
    x = 138,643.65

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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.