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Finding the Fourth Proportional to 225,953.16, 338,666.76 and 166,236

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Solution

The fourth proportional to 225,953.16, 338,666.76 and 166,236 is: 249,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,953.16 : 338,666.76 = 166,236 : x
  2. Step 2: Convert to fraction form
    225,953.16/338,666.76 = 166,236/x
  3. Step 3: Cross multiply
    225,953.16x = 338,666.76 × 166,236
  4. Step 4: Simplify right side
    225,953.16x = 56,298,607,515.36
  5. Step 5: Solve for x
    x = 56,298,607,515.36/225,953.16
  6. Step 6: Final answer
    x = 249,160.52

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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.