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Finding the Fourth Proportional to 232,807.12, 348,918.15 and 99,530.74

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Solution

The fourth proportional to 232,807.12, 348,918.15 and 99,530.74 is: 149,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,807.12 : 348,918.15 = 99,530.74 : x
  2. Step 2: Convert to fraction form
    232,807.12/348,918.15 = 99,530.74/x
  3. Step 3: Cross multiply
    232,807.12x = 348,918.15 × 99,530.74
  4. Step 4: Simplify right side
    232,807.12x = 34,728,081,668.93
  5. Step 5: Solve for x
    x = 34,728,081,668.93/232,807.12
  6. Step 6: Final answer
    x = 149,171.05

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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.