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Finding the Fourth Proportional to 152,466.40, 213,764 and 152,466.40

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Solution

The fourth proportional to 152,466.40, 213,764 and 152,466.40 is: 213,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,466.40 : 213,764 = 152,466.40 : x
  2. Step 2: Convert to fraction form
    152,466.40/213,764 = 152,466.40/x
  3. Step 3: Cross multiply
    152,466.40x = 213,764 × 152,466.40
  4. Step 4: Simplify right side
    152,466.40x = 32,591,827,529.60
  5. Step 5: Solve for x
    x = 32,591,827,529.60/152,466.40
  6. Step 6: Final answer
    x = 213,764

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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.