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Finding the Fourth Proportional to 212,730.40, 319,095.60 and 72,493.60

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Solution

The fourth proportional to 212,730.40, 319,095.60 and 72,493.60 is: 108,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,730.40 : 319,095.60 = 72,493.60 : x
  2. Step 2: Convert to fraction form
    212,730.40/319,095.60 = 72,493.60/x
  3. Step 3: Cross multiply
    212,730.40x = 319,095.60 × 72,493.60
  4. Step 4: Simplify right side
    212,730.40x = 23,132,388,788.16
  5. Step 5: Solve for x
    x = 23,132,388,788.16/212,730.40
  6. Step 6: Final answer
    x = 108,740.40

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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.