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Finding the Fourth Proportional to 293,101.60, 439,652.40 and 188,125.60

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Solution

The fourth proportional to 293,101.60, 439,652.40 and 188,125.60 is: 282,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,101.60 : 439,652.40 = 188,125.60 : x
  2. Step 2: Convert to fraction form
    293,101.60/439,652.40 = 188,125.60/x
  3. Step 3: Cross multiply
    293,101.60x = 439,652.40 × 188,125.60
  4. Step 4: Simplify right side
    293,101.60x = 82,709,871,541.44
  5. Step 5: Solve for x
    x = 82,709,871,541.44/293,101.60
  6. Step 6: Final answer
    x = 282,188.40

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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.