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Finding the Fourth Proportional to 233,070.08, 349,605.44 and 99,864

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Solution

The fourth proportional to 233,070.08, 349,605.44 and 99,864 is: 149,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,070.08 : 349,605.44 = 99,864 : x
  2. Step 2: Convert to fraction form
    233,070.08/349,605.44 = 99,864/x
  3. Step 3: Cross multiply
    233,070.08x = 349,605.44 × 99,864
  4. Step 4: Simplify right side
    233,070.08x = 34,912,997,660.16
  5. Step 5: Solve for x
    x = 34,912,997,660.16/233,070.08
  6. Step 6: Final answer
    x = 149,796.14

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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.