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Finding the Fourth Proportional to 224,155.34, 309,214.14 and 143,496.08

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Solution

The fourth proportional to 224,155.34, 309,214.14 and 143,496.08 is: 197,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,155.34 : 309,214.14 = 143,496.08 : x
  2. Step 2: Convert to fraction form
    224,155.34/309,214.14 = 143,496.08/x
  3. Step 3: Cross multiply
    224,155.34x = 309,214.14 × 143,496.08
  4. Step 4: Simplify right side
    224,155.34x = 44,371,016,970.57
  5. Step 5: Solve for x
    x = 44,371,016,970.57/224,155.34
  6. Step 6: Final answer
    x = 197,947.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.