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Finding the Fourth Proportional to 75,904.64, 113,704.64 and 69,704.08

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Solution

The fourth proportional to 75,904.64, 113,704.64 and 69,704.08 is: 104,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904.64 : 113,704.64 = 69,704.08 : x
  2. Step 2: Convert to fraction form
    75,904.64/113,704.64 = 69,704.08/x
  3. Step 3: Cross multiply
    75,904.64x = 113,704.64 × 69,704.08
  4. Step 4: Simplify right side
    75,904.64x = 7,925,677,322.93
  5. Step 5: Solve for x
    x = 7,925,677,322.93/75,904.64
  6. Step 6: Final answer
    x = 104,416.24

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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.