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Finding the Fourth Proportional to 211,322.40, 316,400.40 and 164,666.40

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Solution

The fourth proportional to 211,322.40, 316,400.40 and 164,666.40 is: 246,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,322.40 : 316,400.40 = 164,666.40 : x
  2. Step 2: Convert to fraction form
    211,322.40/316,400.40 = 164,666.40/x
  3. Step 3: Cross multiply
    211,322.40x = 316,400.40 × 164,666.40
  4. Step 4: Simplify right side
    211,322.40x = 52,100,514,826.56
  5. Step 5: Solve for x
    x = 52,100,514,826.56/211,322.40
  6. Step 6: Final answer
    x = 246,545.16

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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.