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Finding the Fourth Proportional to 130,448.84, 180,381.77 and 103,544.64

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Solution

The fourth proportional to 130,448.84, 180,381.77 and 103,544.64 is: 143,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,448.84 : 180,381.77 = 103,544.64 : x
  2. Step 2: Convert to fraction form
    130,448.84/180,381.77 = 103,544.64/x
  3. Step 3: Cross multiply
    130,448.84x = 180,381.77 × 103,544.64
  4. Step 4: Simplify right side
    130,448.84x = 18,677,565,437.21
  5. Step 5: Solve for x
    x = 18,677,565,437.21/130,448.84
  6. Step 6: Final answer
    x = 143,179.24

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