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Finding the Fourth Proportional to 188,011.34, 259,419.75 and 107,464.40

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Solution

The fourth proportional to 188,011.34, 259,419.75 and 107,464.40 is: 148,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,011.34 : 259,419.75 = 107,464.40 : x
  2. Step 2: Convert to fraction form
    188,011.34/259,419.75 = 107,464.40/x
  3. Step 3: Cross multiply
    188,011.34x = 259,419.75 × 107,464.40
  4. Step 4: Simplify right side
    188,011.34x = 27,878,387,781.90
  5. Step 5: Solve for x
    x = 27,878,387,781.90/188,011.34
  6. Step 6: Final answer
    x = 148,280.35

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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.