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Finding the Fourth Proportional to 161,051.76, 241,596.84 and 77,886

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Solution

The fourth proportional to 161,051.76, 241,596.84 and 77,886 is: 116,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,051.76 : 241,596.84 = 77,886 : x
  2. Step 2: Convert to fraction form
    161,051.76/241,596.84 = 77,886/x
  3. Step 3: Cross multiply
    161,051.76x = 241,596.84 × 77,886
  4. Step 4: Simplify right side
    161,051.76x = 18,817,011,480.24
  5. Step 5: Solve for x
    x = 18,817,011,480.24/161,051.76
  6. Step 6: Final answer
    x = 116,838.29

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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.