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Finding the Fourth Proportional to 165,156, 247,746.36 and 46,836.87

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Solution

The fourth proportional to 165,156, 247,746.36 and 46,836.87 is: 70,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,156 : 247,746.36 = 46,836.87 : x
  2. Step 2: Convert to fraction form
    165,156/247,746.36 = 46,836.87/x
  3. Step 3: Cross multiply
    165,156x = 247,746.36 × 46,836.87
  4. Step 4: Simplify right side
    165,156x = 11,603,664,056.29
  5. Step 5: Solve for x
    x = 11,603,664,056.29/165,156
  6. Step 6: Final answer
    x = 70,258.81

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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.