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Finding the Fourth Proportional to 316,104.14, 474,155.67 and 147,567.98

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Solution

The fourth proportional to 316,104.14, 474,155.67 and 147,567.98 is: 221,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,104.14 : 474,155.67 = 147,567.98 : x
  2. Step 2: Convert to fraction form
    316,104.14/474,155.67 = 147,567.98/x
  3. Step 3: Cross multiply
    316,104.14x = 474,155.67 × 147,567.98
  4. Step 4: Simplify right side
    316,104.14x = 69,970,194,427.45
  5. Step 5: Solve for x
    x = 69,970,194,427.45/316,104.14
  6. Step 6: Final answer
    x = 221,351.72

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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.