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Finding the Fourth Proportional to 124,493.80, 186,764.70 and 53,415.40

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Solution

The fourth proportional to 124,493.80, 186,764.70 and 53,415.40 is: 80,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,493.80 : 186,764.70 = 53,415.40 : x
  2. Step 2: Convert to fraction form
    124,493.80/186,764.70 = 53,415.40/x
  3. Step 3: Cross multiply
    124,493.80x = 186,764.70 × 53,415.40
  4. Step 4: Simplify right side
    124,493.80x = 9,976,111,156.38
  5. Step 5: Solve for x
    x = 9,976,111,156.38/124,493.80
  6. Step 6: Final answer
    x = 80,133.40

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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.