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Finding the Fourth Proportional to 109,904.80, 164,862.60 and 57,416.80

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Solution

The fourth proportional to 109,904.80, 164,862.60 and 57,416.80 is: 86,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.80 : 164,862.60 = 57,416.80 : x
  2. Step 2: Convert to fraction form
    109,904.80/164,862.60 = 57,416.80/x
  3. Step 3: Cross multiply
    109,904.80x = 164,862.60 × 57,416.80
  4. Step 4: Simplify right side
    109,904.80x = 9,465,882,931.68
  5. Step 5: Solve for x
    x = 9,465,882,931.68/109,904.80
  6. Step 6: Final answer
    x = 86,128.02

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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.