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Finding the Fourth Proportional to 176,724.40, 264,503.40 and 137,066.80

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Solution

The fourth proportional to 176,724.40, 264,503.40 and 137,066.80 is: 205,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,724.40 : 264,503.40 = 137,066.80 : x
  2. Step 2: Convert to fraction form
    176,724.40/264,503.40 = 137,066.80/x
  3. Step 3: Cross multiply
    176,724.40x = 264,503.40 × 137,066.80
  4. Step 4: Simplify right side
    176,724.40x = 36,254,634,627.12
  5. Step 5: Solve for x
    x = 36,254,634,627.12/176,724.40
  6. Step 6: Final answer
    x = 205,147.87

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1.5x scale

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.