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Finding the Fourth Proportional to 224,315.16, 309,546.32 and 123,713.16

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Solution

The fourth proportional to 224,315.16, 309,546.32 and 123,713.16 is: 170,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,315.16 : 309,546.32 = 123,713.16 : x
  2. Step 2: Convert to fraction form
    224,315.16/309,546.32 = 123,713.16/x
  3. Step 3: Cross multiply
    224,315.16x = 309,546.32 × 123,713.16
  4. Step 4: Simplify right side
    224,315.16x = 38,294,953,413.57
  5. Step 5: Solve for x
    x = 38,294,953,413.57/224,315.16
  6. Step 6: Final answer
    x = 170,719.42

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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.