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Finding the Fourth Proportional to 312,141.60, 468,277.20 and 101,795.40

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Solution

The fourth proportional to 312,141.60, 468,277.20 and 101,795.40 is: 152,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,141.60 : 468,277.20 = 101,795.40 : x
  2. Step 2: Convert to fraction form
    312,141.60/468,277.20 = 101,795.40/x
  3. Step 3: Cross multiply
    312,141.60x = 468,277.20 × 101,795.40
  4. Step 4: Simplify right side
    312,141.60x = 47,668,464,884.88
  5. Step 5: Solve for x
    x = 47,668,464,884.88/312,141.60
  6. Step 6: Final answer
    x = 152,714.23

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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.