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Finding the Fourth Proportional to 153,546.96, 211,797.84 and 105,717.24

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Solution

The fourth proportional to 153,546.96, 211,797.84 and 105,717.24 is: 145,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,546.96 : 211,797.84 = 105,717.24 : x
  2. Step 2: Convert to fraction form
    153,546.96/211,797.84 = 105,717.24/x
  3. Step 3: Cross multiply
    153,546.96x = 211,797.84 × 105,717.24
  4. Step 4: Simplify right side
    153,546.96x = 22,390,683,082.76
  5. Step 5: Solve for x
    x = 22,390,683,082.76/153,546.96
  6. Step 6: Final answer
    x = 145,823.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.