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Finding the Fourth Proportional to 206,682.51, 310,025.42 and 56,931.06

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Solution

The fourth proportional to 206,682.51, 310,025.42 and 56,931.06 is: 85,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682.51 : 310,025.42 = 56,931.06 : x
  2. Step 2: Convert to fraction form
    206,682.51/310,025.42 = 56,931.06/x
  3. Step 3: Cross multiply
    206,682.51x = 310,025.42 × 56,931.06
  4. Step 4: Simplify right side
    206,682.51x = 17,650,075,787.55
  5. Step 5: Solve for x
    x = 17,650,075,787.55/206,682.51
  6. Step 6: Final answer
    x = 85,397.05

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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.