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Finding the Fourth Proportional to 232,854.69, 348,989.83 and 99,578.24

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Solution

The fourth proportional to 232,854.69, 348,989.83 and 99,578.24 is: 149,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,854.69 : 348,989.83 = 99,578.24 : x
  2. Step 2: Convert to fraction form
    232,854.69/348,989.83 = 99,578.24/x
  3. Step 3: Cross multiply
    232,854.69x = 348,989.83 × 99,578.24
  4. Step 4: Simplify right side
    232,854.69x = 34,751,791,055.40
  5. Step 5: Solve for x
    x = 34,751,791,055.40/232,854.69
  6. Step 6: Final answer
    x = 149,242.39

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1.5x scale

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.