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Finding the Fourth Proportional to 224,594.16, 309,798.36 and 143,938.32

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Solution

The fourth proportional to 224,594.16, 309,798.36 and 143,938.32 is: 198,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,594.16 : 309,798.36 = 143,938.32 : x
  2. Step 2: Convert to fraction form
    224,594.16/309,798.36 = 143,938.32/x
  3. Step 3: Cross multiply
    224,594.16x = 309,798.36 × 143,938.32
  4. Step 4: Simplify right side
    224,594.16x = 44,591,855,477.16
  5. Step 5: Solve for x
    x = 44,591,855,477.16/224,594.16
  6. Step 6: Final answer
    x = 198,544.15

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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.