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Finding the Fourth Proportional to 117,154, 175,784.55 and 63,766

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Solution

The fourth proportional to 117,154, 175,784.55 and 63,766 is: 95,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,154 : 175,784.55 = 63,766 : x
  2. Step 2: Convert to fraction form
    117,154/175,784.55 = 63,766/x
  3. Step 3: Cross multiply
    117,154x = 175,784.55 × 63,766
  4. Step 4: Simplify right side
    117,154x = 11,209,077,615.30
  5. Step 5: Solve for x
    x = 11,209,077,615.30/117,154
  6. Step 6: Final answer
    x = 95,678.15

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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.