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Finding the Fourth Proportional to 102,155.80, 153,233.70 and 49,667.80

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Solution

The fourth proportional to 102,155.80, 153,233.70 and 49,667.80 is: 74,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.80 : 153,233.70 = 49,667.80 : x
  2. Step 2: Convert to fraction form
    102,155.80/153,233.70 = 49,667.80/x
  3. Step 3: Cross multiply
    102,155.80x = 153,233.70 × 49,667.80
  4. Step 4: Simplify right side
    102,155.80x = 7,610,780,764.86
  5. Step 5: Solve for x
    x = 7,610,780,764.86/102,155.80
  6. Step 6: Final answer
    x = 74,501.70

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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.