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Finding the Fourth Proportional to 137,256.17, 189,414.17 and 76,828.01

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Solution

The fourth proportional to 137,256.17, 189,414.17 and 76,828.01 is: 106,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,256.17 : 189,414.17 = 76,828.01 : x
  2. Step 2: Convert to fraction form
    137,256.17/189,414.17 = 76,828.01/x
  3. Step 3: Cross multiply
    137,256.17x = 189,414.17 × 76,828.01
  4. Step 4: Simplify right side
    137,256.17x = 14,552,312,415.69
  5. Step 5: Solve for x
    x = 14,552,312,415.69/137,256.17
  6. Step 6: Final answer
    x = 106,023.01

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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.