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Finding the Fourth Proportional to 137,509.28, 189,761.28 and 77,089.76

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Solution

The fourth proportional to 137,509.28, 189,761.28 and 77,089.76 is: 106,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.28 : 189,761.28 = 77,089.76 : x
  2. Step 2: Convert to fraction form
    137,509.28/189,761.28 = 77,089.76/x
  3. Step 3: Cross multiply
    137,509.28x = 189,761.28 × 77,089.76
  4. Step 4: Simplify right side
    137,509.28x = 14,628,651,532.49
  5. Step 5: Solve for x
    x = 14,628,651,532.49/137,509.28
  6. Step 6: Final answer
    x = 106,383.01

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1.5x scale

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.