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Finding the Fourth Proportional to 117,856.61, 176,783.97 and 78,053.75

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Solution

The fourth proportional to 117,856.61, 176,783.97 and 78,053.75 is: 117,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,856.61 : 176,783.97 = 78,053.75 : x
  2. Step 2: Convert to fraction form
    117,856.61/176,783.97 = 78,053.75/x
  3. Step 3: Cross multiply
    117,856.61x = 176,783.97 × 78,053.75
  4. Step 4: Simplify right side
    117,856.61x = 13,798,651,798.39
  5. Step 5: Solve for x
    x = 13,798,651,798.39/117,856.61
  6. Step 6: Final answer
    x = 117,080.00

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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.