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Finding the Fourth Proportional to 118,833.24, 164,064.44 and 76,465.40

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Solution

The fourth proportional to 118,833.24, 164,064.44 and 76,465.40 is: 105,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,833.24 : 164,064.44 = 76,465.40 : x
  2. Step 2: Convert to fraction form
    118,833.24/164,064.44 = 76,465.40/x
  3. Step 3: Cross multiply
    118,833.24x = 164,064.44 × 76,465.40
  4. Step 4: Simplify right side
    118,833.24x = 12,545,253,030.38
  5. Step 5: Solve for x
    x = 12,545,253,030.38/118,833.24
  6. Step 6: Final answer
    x = 105,570.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.