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Finding the Fourth Proportional to 152,200.10, 213,546.70 and 152,200.10

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Solution

The fourth proportional to 152,200.10, 213,546.70 and 152,200.10 is: 213,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,200.10 : 213,546.70 = 152,200.10 : x
  2. Step 2: Convert to fraction form
    152,200.10/213,546.70 = 152,200.10/x
  3. Step 3: Cross multiply
    152,200.10x = 213,546.70 × 152,200.10
  4. Step 4: Simplify right side
    152,200.10x = 32,501,829,094.67
  5. Step 5: Solve for x
    x = 32,501,829,094.67/152,200.10
  6. Step 6: Final answer
    x = 213,546.70

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