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Finding the Fourth Proportional to 152,232.10, 213,591.50 and 152,232.10

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Solution

The fourth proportional to 152,232.10, 213,591.50 and 152,232.10 is: 213,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,232.10 : 213,591.50 = 152,232.10 : x
  2. Step 2: Convert to fraction form
    152,232.10/213,591.50 = 152,232.10/x
  3. Step 3: Cross multiply
    152,232.10x = 213,591.50 × 152,232.10
  4. Step 4: Simplify right side
    152,232.10x = 32,515,482,587.15
  5. Step 5: Solve for x
    x = 32,515,482,587.15/152,232.10
  6. Step 6: Final answer
    x = 213,591.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.