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Finding the Fourth Proportional to 118,833.60, 178,250.40 and 109,502.40

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Solution

The fourth proportional to 118,833.60, 178,250.40 and 109,502.40 is: 164,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,833.60 : 178,250.40 = 109,502.40 : x
  2. Step 2: Convert to fraction form
    118,833.60/178,250.40 = 109,502.40/x
  3. Step 3: Cross multiply
    118,833.60x = 178,250.40 × 109,502.40
  4. Step 4: Simplify right side
    118,833.60x = 19,518,846,600.96
  5. Step 5: Solve for x
    x = 19,518,846,600.96/118,833.60
  6. Step 6: Final answer
    x = 164,253.60

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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.