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Finding the Fourth Proportional to 209,358, 313,609.32 and 174,184.56

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Solution

The fourth proportional to 209,358, 313,609.32 and 174,184.56 is: 260,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,358 : 313,609.32 = 174,184.56 : x
  2. Step 2: Convert to fraction form
    209,358/313,609.32 = 174,184.56/x
  3. Step 3: Cross multiply
    209,358x = 313,609.32 × 174,184.56
  4. Step 4: Simplify right side
    209,358x = 54,625,901,416.10
  5. Step 5: Solve for x
    x = 54,625,901,416.10/209,358
  6. Step 6: Final answer
    x = 260,921.01

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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.