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Finding the Fourth Proportional to 175,902.60, 263,465.10 and 144,798.60

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Solution

The fourth proportional to 175,902.60, 263,465.10 and 144,798.60 is: 216,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,902.60 : 263,465.10 = 144,798.60 : x
  2. Step 2: Convert to fraction form
    175,902.60/263,465.10 = 144,798.60/x
  3. Step 3: Cross multiply
    175,902.60x = 263,465.10 × 144,798.60
  4. Step 4: Simplify right side
    175,902.60x = 38,149,377,628.86
  5. Step 5: Solve for x
    x = 38,149,377,628.86/175,902.60
  6. Step 6: Final answer
    x = 216,877.85

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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.