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Finding the Fourth Proportional to 206,925.84, 310,332.12 and 57,130.32

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Solution

The fourth proportional to 206,925.84, 310,332.12 and 57,130.32 is: 85,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,925.84 : 310,332.12 = 57,130.32 : x
  2. Step 2: Convert to fraction form
    206,925.84/310,332.12 = 57,130.32/x
  3. Step 3: Cross multiply
    206,925.84x = 310,332.12 × 57,130.32
  4. Step 4: Simplify right side
    206,925.84x = 17,729,373,321.88
  5. Step 5: Solve for x
    x = 17,729,373,321.88/206,925.84
  6. Step 6: Final answer
    x = 85,679.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.