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Finding the Fourth Proportional to 233,153.73, 349,693.29 and 83,366.10

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Solution

The fourth proportional to 233,153.73, 349,693.29 and 83,366.10 is: 125,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,153.73 : 349,693.29 = 83,366.10 : x
  2. Step 2: Convert to fraction form
    233,153.73/349,693.29 = 83,366.10/x
  3. Step 3: Cross multiply
    233,153.73x = 349,693.29 × 83,366.10
  4. Step 4: Simplify right side
    233,153.73x = 29,152,565,783.47
  5. Step 5: Solve for x
    x = 29,152,565,783.47/233,153.73
  6. Step 6: Final answer
    x = 125,035.81

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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.