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Finding the Fourth Proportional to 107,384.64, 160,895.04 and 65,744.64

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Solution

The fourth proportional to 107,384.64, 160,895.04 and 65,744.64 is: 98,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,384.64 : 160,895.04 = 65,744.64 : x
  2. Step 2: Convert to fraction form
    107,384.64/160,895.04 = 65,744.64/x
  3. Step 3: Cross multiply
    107,384.64x = 160,895.04 × 65,744.64
  4. Step 4: Simplify right side
    107,384.64x = 10,577,986,482.59
  5. Step 5: Solve for x
    x = 10,577,986,482.59/107,384.64
  6. Step 6: Final answer
    x = 98,505.58

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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.