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Finding the Fourth Proportional to 102,746.80, 154,141.80 and 58,337.20

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Solution

The fourth proportional to 102,746.80, 154,141.80 and 58,337.20 is: 87,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,746.80 : 154,141.80 = 58,337.20 : x
  2. Step 2: Convert to fraction form
    102,746.80/154,141.80 = 58,337.20/x
  3. Step 3: Cross multiply
    102,746.80x = 154,141.80 × 58,337.20
  4. Step 4: Simplify right side
    102,746.80x = 8,992,201,014.96
  5. Step 5: Solve for x
    x = 8,992,201,014.96/102,746.80
  6. Step 6: Final answer
    x = 87,518.06

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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.