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Finding the Fourth Proportional to 233,088.64, 349,633.28 and 99,882.48

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Solution

The fourth proportional to 233,088.64, 349,633.28 and 99,882.48 is: 149,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,088.64 : 349,633.28 = 99,882.48 : x
  2. Step 2: Convert to fraction form
    233,088.64/349,633.28 = 99,882.48/x
  3. Step 3: Cross multiply
    233,088.64x = 349,633.28 × 99,882.48
  4. Step 4: Simplify right side
    233,088.64x = 34,922,239,096.93
  5. Step 5: Solve for x
    x = 34,922,239,096.93/233,088.64
  6. Step 6: Final answer
    x = 149,823.86

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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.