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Finding the Fourth Proportional to 152,214.60, 213,567 and 152,214.60

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Solution

The fourth proportional to 152,214.60, 213,567 and 152,214.60 is: 213,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,214.60 : 213,567 = 152,214.60 : x
  2. Step 2: Convert to fraction form
    152,214.60/213,567 = 152,214.60/x
  3. Step 3: Cross multiply
    152,214.60x = 213,567 × 152,214.60
  4. Step 4: Simplify right side
    152,214.60x = 32,508,015,478.20
  5. Step 5: Solve for x
    x = 32,508,015,478.20/152,214.60
  6. Step 6: Final answer
    x = 213,567

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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.