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Finding the Fourth Proportional to 128,040.77, 191,966.04 and 61,417.46

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Solution

The fourth proportional to 128,040.77, 191,966.04 and 61,417.46 is: 92,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,040.77 : 191,966.04 = 61,417.46 : x
  2. Step 2: Convert to fraction form
    128,040.77/191,966.04 = 61,417.46/x
  3. Step 3: Cross multiply
    128,040.77x = 191,966.04 × 61,417.46
  4. Step 4: Simplify right side
    128,040.77x = 11,790,066,583.06
  5. Step 5: Solve for x
    x = 11,790,066,583.06/128,040.77
  6. Step 6: Final answer
    x = 92,080.57

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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.