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Finding the Fourth Proportional to 212,894.40, 318,904.20 and 146,409.60

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Solution

The fourth proportional to 212,894.40, 318,904.20 and 146,409.60 is: 219,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894.40 : 318,904.20 = 146,409.60 : x
  2. Step 2: Convert to fraction form
    212,894.40/318,904.20 = 146,409.60/x
  3. Step 3: Cross multiply
    212,894.40x = 318,904.20 × 146,409.60
  4. Step 4: Simplify right side
    212,894.40x = 46,690,636,360.32
  5. Step 5: Solve for x
    x = 46,690,636,360.32/212,894.40
  6. Step 6: Final answer
    x = 219,313.60

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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.