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Finding the Fourth Proportional to 92,303.12, 138,564.36 and 77,693.84

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Solution

The fourth proportional to 92,303.12, 138,564.36 and 77,693.84 is: 116,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,303.12 : 138,564.36 = 77,693.84 : x
  2. Step 2: Convert to fraction form
    92,303.12/138,564.36 = 77,693.84/x
  3. Step 3: Cross multiply
    92,303.12x = 138,564.36 × 77,693.84
  4. Step 4: Simplify right side
    92,303.12x = 10,765,597,215.54
  5. Step 5: Solve for x
    x = 10,765,597,215.54/92,303.12
  6. Step 6: Final answer
    x = 116,633.08

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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.