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Finding the Fourth Proportional to 176,078.68, 242,987.16 and 95,506

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Solution

The fourth proportional to 176,078.68, 242,987.16 and 95,506 is: 131,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,078.68 : 242,987.16 = 95,506 : x
  2. Step 2: Convert to fraction form
    176,078.68/242,987.16 = 95,506/x
  3. Step 3: Cross multiply
    176,078.68x = 242,987.16 × 95,506
  4. Step 4: Simplify right side
    176,078.68x = 23,206,731,702.96
  5. Step 5: Solve for x
    x = 23,206,731,702.96/176,078.68
  6. Step 6: Final answer
    x = 131,797.51

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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.