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Finding the Fourth Proportional to 159,290.96, 238,769.76 and 59,411

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Solution

The fourth proportional to 159,290.96, 238,769.76 and 59,411 is: 89,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,290.96 : 238,769.76 = 59,411 : x
  2. Step 2: Convert to fraction form
    159,290.96/238,769.76 = 59,411/x
  3. Step 3: Cross multiply
    159,290.96x = 238,769.76 × 59,411
  4. Step 4: Simplify right side
    159,290.96x = 14,185,550,211.36
  5. Step 5: Solve for x
    x = 14,185,550,211.36/159,290.96
  6. Step 6: Final answer
    x = 89,054.33

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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.