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Finding the Fourth Proportional to 211,059.84, 316,681.28 and 116,174.08

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Solution

The fourth proportional to 211,059.84, 316,681.28 and 116,174.08 is: 174,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,059.84 : 316,681.28 = 116,174.08 : x
  2. Step 2: Convert to fraction form
    211,059.84/316,681.28 = 116,174.08/x
  3. Step 3: Cross multiply
    211,059.84x = 316,681.28 × 116,174.08
  4. Step 4: Simplify right side
    211,059.84x = 36,790,156,357.22
  5. Step 5: Solve for x
    x = 36,790,156,357.22/211,059.84
  6. Step 6: Final answer
    x = 174,311.50

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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.