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Finding the Fourth Proportional to 130,007.64, 194,851.95 and 73,894.75

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Solution

The fourth proportional to 130,007.64, 194,851.95 and 73,894.75 is: 110,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,007.64 : 194,851.95 = 73,894.75 : x
  2. Step 2: Convert to fraction form
    130,007.64/194,851.95 = 73,894.75/x
  3. Step 3: Cross multiply
    130,007.64x = 194,851.95 × 73,894.75
  4. Step 4: Simplify right side
    130,007.64x = 14,398,536,132.26
  5. Step 5: Solve for x
    x = 14,398,536,132.26/130,007.64
  6. Step 6: Final answer
    x = 110,751.46

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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.