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Finding the Fourth Proportional to 114,047.71, 157,311.69 and 73,147.05

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Solution

The fourth proportional to 114,047.71, 157,311.69 and 73,147.05 is: 100,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,047.71 : 157,311.69 = 73,147.05 : x
  2. Step 2: Convert to fraction form
    114,047.71/157,311.69 = 73,147.05/x
  3. Step 3: Cross multiply
    114,047.71x = 157,311.69 × 73,147.05
  4. Step 4: Simplify right side
    114,047.71x = 11,506,886,054.01
  5. Step 5: Solve for x
    x = 11,506,886,054.01/114,047.71
  6. Step 6: Final answer
    x = 100,895.37

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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.