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Finding the Fourth Proportional to 253,203.50, 349,406.64 and 138,459.38

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Solution

The fourth proportional to 253,203.50, 349,406.64 and 138,459.38 is: 191,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,203.50 : 349,406.64 = 138,459.38 : x
  2. Step 2: Convert to fraction form
    253,203.50/349,406.64 = 138,459.38/x
  3. Step 3: Cross multiply
    253,203.50x = 349,406.64 × 138,459.38
  4. Step 4: Simplify right side
    253,203.50x = 48,378,626,742.28
  5. Step 5: Solve for x
    x = 48,378,626,742.28/253,203.50
  6. Step 6: Final answer
    x = 191,066.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.