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Finding the Fourth Proportional to 176,969.30, 244,209 and 100,478.38

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Solution

The fourth proportional to 176,969.30, 244,209 and 100,478.38 is: 138,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,969.30 : 244,209 = 100,478.38 : x
  2. Step 2: Convert to fraction form
    176,969.30/244,209 = 100,478.38/x
  3. Step 3: Cross multiply
    176,969.30x = 244,209 × 100,478.38
  4. Step 4: Simplify right side
    176,969.30x = 24,537,724,701.42
  5. Step 5: Solve for x
    x = 24,537,724,701.42/176,969.30
  6. Step 6: Final answer
    x = 138,655.26

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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.