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Finding the Fourth Proportional to 137,520, 189,777.60 and 77,904

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Solution

The fourth proportional to 137,520, 189,777.60 and 77,904 is: 107,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,520 : 189,777.60 = 77,904 : x
  2. Step 2: Convert to fraction form
    137,520/189,777.60 = 77,904/x
  3. Step 3: Cross multiply
    137,520x = 189,777.60 × 77,904
  4. Step 4: Simplify right side
    137,520x = 14,784,434,150.40
  5. Step 5: Solve for x
    x = 14,784,434,150.40/137,520
  6. Step 6: Final answer
    x = 107,507.52

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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.