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Finding the Fourth Proportional to 206,852.58, 310,402.80 and 88,524.03

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Solution

The fourth proportional to 206,852.58, 310,402.80 and 88,524.03 is: 132,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.58 : 310,402.80 = 88,524.03 : x
  2. Step 2: Convert to fraction form
    206,852.58/310,402.80 = 88,524.03/x
  3. Step 3: Cross multiply
    206,852.58x = 310,402.80 × 88,524.03
  4. Step 4: Simplify right side
    206,852.58x = 27,478,106,779.28
  5. Step 5: Solve for x
    x = 27,478,106,779.28/206,852.58
  6. Step 6: Final answer
    x = 132,839.08

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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.