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Finding the Fourth Proportional to 165,438.71, 248,037.08 and 53,054.96

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Solution

The fourth proportional to 165,438.71, 248,037.08 and 53,054.96 is: 79,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,438.71 : 248,037.08 = 53,054.96 : x
  2. Step 2: Convert to fraction form
    165,438.71/248,037.08 = 53,054.96/x
  3. Step 3: Cross multiply
    165,438.71x = 248,037.08 × 53,054.96
  4. Step 4: Simplify right side
    165,438.71x = 13,159,596,117.73
  5. Step 5: Solve for x
    x = 13,159,596,117.73/165,438.71
  6. Step 6: Final answer
    x = 79,543.63

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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.