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Finding the Fourth Proportional to 211,329.90, 316,411.65 and 164,673.90

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Solution

The fourth proportional to 211,329.90, 316,411.65 and 164,673.90 is: 246,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,329.90 : 316,411.65 = 164,673.90 : x
  2. Step 2: Convert to fraction form
    211,329.90/316,411.65 = 164,673.90/x
  3. Step 3: Cross multiply
    211,329.90x = 316,411.65 × 164,673.90
  4. Step 4: Simplify right side
    211,329.90x = 52,104,740,410.94
  5. Step 5: Solve for x
    x = 52,104,740,410.94/211,329.90
  6. Step 6: Final answer
    x = 246,556.40

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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.