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Finding the Fourth Proportional to 205,041.60, 307,648.80 and 111,614.40

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Solution

The fourth proportional to 205,041.60, 307,648.80 and 111,614.40 is: 167,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,041.60 : 307,648.80 = 111,614.40 : x
  2. Step 2: Convert to fraction form
    205,041.60/307,648.80 = 111,614.40/x
  3. Step 3: Cross multiply
    205,041.60x = 307,648.80 × 111,614.40
  4. Step 4: Simplify right side
    205,041.60x = 34,338,036,222.72
  5. Step 5: Solve for x
    x = 34,338,036,222.72/205,041.60
  6. Step 6: Final answer
    x = 167,468.63

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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.