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Finding the Fourth Proportional to 165,833.76, 228,856.76 and 94,225.90

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Solution

The fourth proportional to 165,833.76, 228,856.76 and 94,225.90 is: 130,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,833.76 : 228,856.76 = 94,225.90 : x
  2. Step 2: Convert to fraction form
    165,833.76/228,856.76 = 94,225.90/x
  3. Step 3: Cross multiply
    165,833.76x = 228,856.76 × 94,225.90
  4. Step 4: Simplify right side
    165,833.76x = 21,564,234,182.08
  5. Step 5: Solve for x
    x = 21,564,234,182.08/165,833.76
  6. Step 6: Final answer
    x = 130,035.25

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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.