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Finding the Fourth Proportional to 212,467.60, 318,701.40 and 146,112.40

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Solution

The fourth proportional to 212,467.60, 318,701.40 and 146,112.40 is: 219,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,467.60 : 318,701.40 = 146,112.40 : x
  2. Step 2: Convert to fraction form
    212,467.60/318,701.40 = 146,112.40/x
  3. Step 3: Cross multiply
    212,467.60x = 318,701.40 × 146,112.40
  4. Step 4: Simplify right side
    212,467.60x = 46,566,226,437.36
  5. Step 5: Solve for x
    x = 46,566,226,437.36/212,467.60
  6. Step 6: Final answer
    x = 219,168.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.