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Finding the Fourth Proportional to 314,065.14, 471,141.14 and 100,782.89

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Solution

The fourth proportional to 314,065.14, 471,141.14 and 100,782.89 is: 151,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,065.14 : 471,141.14 = 100,782.89 : x
  2. Step 2: Convert to fraction form
    314,065.14/471,141.14 = 100,782.89/x
  3. Step 3: Cross multiply
    314,065.14x = 471,141.14 × 100,782.89
  4. Step 4: Simplify right side
    314,065.14x = 47,482,962,827.47
  5. Step 5: Solve for x
    x = 47,482,962,827.47/314,065.14
  6. Step 6: Final answer
    x = 151,188.26

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1.5x scale

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.