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Finding the Fourth Proportional to 118,992.96, 178,490.16 and 51,509.16

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Solution

The fourth proportional to 118,992.96, 178,490.16 and 51,509.16 is: 77,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,992.96 : 178,490.16 = 51,509.16 : x
  2. Step 2: Convert to fraction form
    118,992.96/178,490.16 = 51,509.16/x
  3. Step 3: Cross multiply
    118,992.96x = 178,490.16 × 51,509.16
  4. Step 4: Simplify right side
    118,992.96x = 9,193,878,209.87
  5. Step 5: Solve for x
    x = 9,193,878,209.87/118,992.96
  6. Step 6: Final answer
    x = 77,264.05

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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.