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Finding the Fourth Proportional to 169,364.12, 253,965.74 and 98,308.69

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Solution

The fourth proportional to 169,364.12, 253,965.74 and 98,308.69 is: 147,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,364.12 : 253,965.74 = 98,308.69 : x
  2. Step 2: Convert to fraction form
    169,364.12/253,965.74 = 98,308.69/x
  3. Step 3: Cross multiply
    169,364.12x = 253,965.74 × 98,308.69
  4. Step 4: Simplify right side
    169,364.12x = 24,967,038,815.14
  5. Step 5: Solve for x
    x = 24,967,038,815.14/169,364.12
  6. Step 6: Final answer
    x = 147,416.34

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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.