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Finding the Fourth Proportional to 209,459.64, 314,238.04 and 69,209.76

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Solution

The fourth proportional to 209,459.64, 314,238.04 and 69,209.76 is: 103,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,459.64 : 314,238.04 = 69,209.76 : x
  2. Step 2: Convert to fraction form
    209,459.64/314,238.04 = 69,209.76/x
  3. Step 3: Cross multiply
    209,459.64x = 314,238.04 × 69,209.76
  4. Step 4: Simplify right side
    209,459.64x = 21,748,339,331.27
  5. Step 5: Solve for x
    x = 21,748,339,331.27/209,459.64
  6. Step 6: Final answer
    x = 103,830.69

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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.