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Finding the Fourth Proportional to 164,999.10, 247,498.65 and 164,999.10

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Solution

The fourth proportional to 164,999.10, 247,498.65 and 164,999.10 is: 247,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,999.10 : 247,498.65 = 164,999.10 : x
  2. Step 2: Convert to fraction form
    164,999.10/247,498.65 = 164,999.10/x
  3. Step 3: Cross multiply
    164,999.10x = 247,498.65 × 164,999.10
  4. Step 4: Simplify right side
    164,999.10x = 40,837,054,501.22
  5. Step 5: Solve for x
    x = 40,837,054,501.22/164,999.10
  6. Step 6: Final answer
    x = 247,498.65

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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.