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Finding the Fourth Proportional to 241,515.76, 362,421.02 and 152,646.88

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Solution

The fourth proportional to 241,515.76, 362,421.02 and 152,646.88 is: 229,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,515.76 : 362,421.02 = 152,646.88 : x
  2. Step 2: Convert to fraction form
    241,515.76/362,421.02 = 152,646.88/x
  3. Step 3: Cross multiply
    241,515.76x = 362,421.02 × 152,646.88
  4. Step 4: Simplify right side
    241,515.76x = 55,322,437,949.42
  5. Step 5: Solve for x
    x = 55,322,437,949.42/241,515.76
  6. Step 6: Final answer
    x = 229,063.47

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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.