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Finding the Fourth Proportional to 211,232.46, 316,868.17 and 69,078.47

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Solution

The fourth proportional to 211,232.46, 316,868.17 and 69,078.47 is: 103,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232.46 : 316,868.17 = 69,078.47 : x
  2. Step 2: Convert to fraction form
    211,232.46/316,868.17 = 69,078.47/x
  3. Step 3: Cross multiply
    211,232.46x = 316,868.17 × 69,078.47
  4. Step 4: Simplify right side
    211,232.46x = 21,888,768,994.77
  5. Step 5: Solve for x
    x = 21,888,768,994.77/211,232.46
  6. Step 6: Final answer
    x = 103,624.08

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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.