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Finding the Fourth Proportional to 211,230.24, 316,437.08 and 117,451.68

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Solution

The fourth proportional to 211,230.24, 316,437.08 and 117,451.68 is: 175,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,230.24 : 316,437.08 = 117,451.68 : x
  2. Step 2: Convert to fraction form
    211,230.24/316,437.08 = 117,451.68/x
  3. Step 3: Cross multiply
    211,230.24x = 316,437.08 × 117,451.68
  4. Step 4: Simplify right side
    211,230.24x = 37,166,066,073.04
  5. Step 5: Solve for x
    x = 37,166,066,073.04/211,230.24
  6. Step 6: Final answer
    x = 175,950.50

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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.