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Finding the Fourth Proportional to 175,175.60, 241,742.56 and 99,724

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Solution

The fourth proportional to 175,175.60, 241,742.56 and 99,724 is: 137,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,175.60 : 241,742.56 = 99,724 : x
  2. Step 2: Convert to fraction form
    175,175.60/241,742.56 = 99,724/x
  3. Step 3: Cross multiply
    175,175.60x = 241,742.56 × 99,724
  4. Step 4: Simplify right side
    175,175.60x = 24,107,535,053.44
  5. Step 5: Solve for x
    x = 24,107,535,053.44/175,175.60
  6. Step 6: Final answer
    x = 137,619.25

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Why These Related Problems?

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