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Finding the Fourth Proportional to 256,868.40, 385,303.14 and 138,595.44

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Solution

The fourth proportional to 256,868.40, 385,303.14 and 138,595.44 is: 207,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,868.40 : 385,303.14 = 138,595.44 : x
  2. Step 2: Convert to fraction form
    256,868.40/385,303.14 = 138,595.44/x
  3. Step 3: Cross multiply
    256,868.40x = 385,303.14 × 138,595.44
  4. Step 4: Simplify right side
    256,868.40x = 53,401,258,221.68
  5. Step 5: Solve for x
    x = 53,401,258,221.68/256,868.40
  6. Step 6: Final answer
    x = 207,893.45

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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.