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Finding the Fourth Proportional to 119,875.32, 179,893.14 and 49,754.64

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Solution

The fourth proportional to 119,875.32, 179,893.14 and 49,754.64 is: 74,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,875.32 : 179,893.14 = 49,754.64 : x
  2. Step 2: Convert to fraction form
    119,875.32/179,893.14 = 49,754.64/x
  3. Step 3: Cross multiply
    119,875.32x = 179,893.14 × 49,754.64
  4. Step 4: Simplify right side
    119,875.32x = 8,950,518,419.17
  5. Step 5: Solve for x
    x = 8,950,518,419.17/119,875.32
  6. Step 6: Final answer
    x = 74,665.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.