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Finding the Fourth Proportional to 102,023.10, 152,689.05 and 102,023.10

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Solution

The fourth proportional to 102,023.10, 152,689.05 and 102,023.10 is: 152,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.10 : 152,689.05 = 102,023.10 : x
  2. Step 2: Convert to fraction form
    102,023.10/152,689.05 = 102,023.10/x
  3. Step 3: Cross multiply
    102,023.10x = 152,689.05 × 102,023.10
  4. Step 4: Simplify right side
    102,023.10x = 15,577,810,217.06
  5. Step 5: Solve for x
    x = 15,577,810,217.06/102,023.10
  6. Step 6: Final answer
    x = 152,689.05

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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.