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Finding the Fourth Proportional to 152,314.28, 210,193.68 and 85,246.28

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Solution

The fourth proportional to 152,314.28, 210,193.68 and 85,246.28 is: 117,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,314.28 : 210,193.68 = 85,246.28 : x
  2. Step 2: Convert to fraction form
    152,314.28/210,193.68 = 85,246.28/x
  3. Step 3: Cross multiply
    152,314.28x = 210,193.68 × 85,246.28
  4. Step 4: Simplify right side
    152,314.28x = 17,918,229,299.51
  5. Step 5: Solve for x
    x = 17,918,229,299.51/152,314.28
  6. Step 6: Final answer
    x = 117,639.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.