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Finding the Fourth Proportional to 137,822.64, 190,095.84 and 126,528

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Solution

The fourth proportional to 137,822.64, 190,095.84 and 126,528 is: 174,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,822.64 : 190,095.84 = 126,528 : x
  2. Step 2: Convert to fraction form
    137,822.64/190,095.84 = 126,528/x
  3. Step 3: Cross multiply
    137,822.64x = 190,095.84 × 126,528
  4. Step 4: Simplify right side
    137,822.64x = 24,052,446,443.52
  5. Step 5: Solve for x
    x = 24,052,446,443.52/137,822.64
  6. Step 6: Final answer
    x = 174,517.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.