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Finding the Fourth Proportional to 175,462.60, 262,805.10 and 144,358.60

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Solution

The fourth proportional to 175,462.60, 262,805.10 and 144,358.60 is: 216,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,462.60 : 262,805.10 = 144,358.60 : x
  2. Step 2: Convert to fraction form
    175,462.60/262,805.10 = 144,358.60/x
  3. Step 3: Cross multiply
    175,462.60x = 262,805.10 × 144,358.60
  4. Step 4: Simplify right side
    175,462.60x = 37,938,176,308.86
  5. Step 5: Solve for x
    x = 37,938,176,308.86/175,462.60
  6. Step 6: Final answer
    x = 216,218.02

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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.