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Finding the Fourth Proportional to 140,885.16, 194,420.64 and 77,225.64

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Solution

The fourth proportional to 140,885.16, 194,420.64 and 77,225.64 is: 106,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,885.16 : 194,420.64 = 77,225.64 : x
  2. Step 2: Convert to fraction form
    140,885.16/194,420.64 = 77,225.64/x
  3. Step 3: Cross multiply
    140,885.16x = 194,420.64 × 77,225.64
  4. Step 4: Simplify right side
    140,885.16x = 15,014,258,353.21
  5. Step 5: Solve for x
    x = 15,014,258,353.21/140,885.16
  6. Step 6: Final answer
    x = 106,570.90

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1.5x scale

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.