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Finding the Fourth Proportional to 157,189.70, 235,321.23 and 103,783.70

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Solution

The fourth proportional to 157,189.70, 235,321.23 and 103,783.70 is: 155,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,189.70 : 235,321.23 = 103,783.70 : x
  2. Step 2: Convert to fraction form
    157,189.70/235,321.23 = 103,783.70/x
  3. Step 3: Cross multiply
    157,189.70x = 235,321.23 × 103,783.70
  4. Step 4: Simplify right side
    157,189.70x = 24,422,507,937.95
  5. Step 5: Solve for x
    x = 24,422,507,937.95/157,189.70
  6. Step 6: Final answer
    x = 155,369.65

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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.