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Finding the Fourth Proportional to 211,122.40, 316,414.80 and 86,322.40

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Solution

The fourth proportional to 211,122.40, 316,414.80 and 86,322.40 is: 129,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,122.40 : 316,414.80 = 86,322.40 : x
  2. Step 2: Convert to fraction form
    211,122.40/316,414.80 = 86,322.40/x
  3. Step 3: Cross multiply
    211,122.40x = 316,414.80 × 86,322.40
  4. Step 4: Simplify right side
    211,122.40x = 27,313,684,931.52
  5. Step 5: Solve for x
    x = 27,313,684,931.52/211,122.40
  6. Step 6: Final answer
    x = 129,373.69

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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.