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Finding the Fourth Proportional to 152,006.70, 212,964.90 and 152,006.70

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Solution

The fourth proportional to 152,006.70, 212,964.90 and 152,006.70 is: 212,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.70 : 212,964.90 = 152,006.70 : x
  2. Step 2: Convert to fraction form
    152,006.70/212,964.90 = 152,006.70/x
  3. Step 3: Cross multiply
    152,006.70x = 212,964.90 × 152,006.70
  4. Step 4: Simplify right side
    152,006.70x = 32,372,091,664.83
  5. Step 5: Solve for x
    x = 32,372,091,664.83/152,006.70
  6. Step 6: Final answer
    x = 212,964.90

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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.