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Finding the Fourth Proportional to 206,835.96, 310,254.75 and 136,699.68

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Solution

The fourth proportional to 206,835.96, 310,254.75 and 136,699.68 is: 205,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.96 : 310,254.75 = 136,699.68 : x
  2. Step 2: Convert to fraction form
    206,835.96/310,254.75 = 136,699.68/x
  3. Step 3: Cross multiply
    206,835.96x = 310,254.75 × 136,699.68
  4. Step 4: Simplify right side
    206,835.96x = 42,411,725,043.48
  5. Step 5: Solve for x
    x = 42,411,725,043.48/206,835.96
  6. Step 6: Final answer
    x = 205,050.06

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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.