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Finding the Fourth Proportional to 129,762.60, 194,643.90 and 85,439.40

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Solution

The fourth proportional to 129,762.60, 194,643.90 and 85,439.40 is: 128,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762.60 : 194,643.90 = 85,439.40 : x
  2. Step 2: Convert to fraction form
    129,762.60/194,643.90 = 85,439.40/x
  3. Step 3: Cross multiply
    129,762.60x = 194,643.90 × 85,439.40
  4. Step 4: Simplify right side
    129,762.60x = 16,630,258,029.66
  5. Step 5: Solve for x
    x = 16,630,258,029.66/129,762.60
  6. Step 6: Final answer
    x = 128,159.10

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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.