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Finding the Fourth Proportional to 206,686.16, 310,083 and 58,953.68

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Solution

The fourth proportional to 206,686.16, 310,083 and 58,953.68 is: 88,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.16 : 310,083 = 58,953.68 : x
  2. Step 2: Convert to fraction form
    206,686.16/310,083 = 58,953.68/x
  3. Step 3: Cross multiply
    206,686.16x = 310,083 × 58,953.68
  4. Step 4: Simplify right side
    206,686.16x = 18,280,533,955.44
  5. Step 5: Solve for x
    x = 18,280,533,955.44/206,686.16
  6. Step 6: Final answer
    x = 88,445.85

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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.