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Finding the Fourth Proportional to 233,177.40, 349,766.10 and 186,521.40

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Solution

The fourth proportional to 233,177.40, 349,766.10 and 186,521.40 is: 279,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,177.40 : 349,766.10 = 186,521.40 : x
  2. Step 2: Convert to fraction form
    233,177.40/349,766.10 = 186,521.40/x
  3. Step 3: Cross multiply
    233,177.40x = 349,766.10 × 186,521.40
  4. Step 4: Simplify right side
    233,177.40x = 65,238,862,644.54
  5. Step 5: Solve for x
    x = 65,238,862,644.54/233,177.40
  6. Step 6: Final answer
    x = 279,782.10

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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.