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Finding the Fourth Proportional to 181,977.68, 251,151 and 106,526

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Solution

The fourth proportional to 181,977.68, 251,151 and 106,526 is: 147,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,977.68 : 251,151 = 106,526 : x
  2. Step 2: Convert to fraction form
    181,977.68/251,151 = 106,526/x
  3. Step 3: Cross multiply
    181,977.68x = 251,151 × 106,526
  4. Step 4: Simplify right side
    181,977.68x = 26,754,111,426
  5. Step 5: Solve for x
    x = 26,754,111,426/181,977.68
  6. Step 6: Final answer
    x = 147,018.64

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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.