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Finding the Fourth Proportional to 176,199.50, 243,357.14 and 116,039.04

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Solution

The fourth proportional to 176,199.50, 243,357.14 and 116,039.04 is: 160,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,199.50 : 243,357.14 = 116,039.04 : x
  2. Step 2: Convert to fraction form
    176,199.50/243,357.14 = 116,039.04/x
  3. Step 3: Cross multiply
    176,199.50x = 243,357.14 × 116,039.04
  4. Step 4: Simplify right side
    176,199.50x = 28,238,928,902.75
  5. Step 5: Solve for x
    x = 28,238,928,902.75/176,199.50
  6. Step 6: Final answer
    x = 160,266.79

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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.