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Finding the Fourth Proportional to 117,909.77, 176,746.46 and 54,774.27

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Solution

The fourth proportional to 117,909.77, 176,746.46 and 54,774.27 is: 82,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,909.77 : 176,746.46 = 54,774.27 : x
  2. Step 2: Convert to fraction form
    117,909.77/176,746.46 = 54,774.27/x
  3. Step 3: Cross multiply
    117,909.77x = 176,746.46 × 54,774.27
  4. Step 4: Simplify right side
    117,909.77x = 9,681,158,047.71
  5. Step 5: Solve for x
    x = 9,681,158,047.71/117,909.77
  6. Step 6: Final answer
    x = 82,106.50

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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.