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Finding the Fourth Proportional to 114,507.60, 157,907.92 and 105,456.44

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Solution

The fourth proportional to 114,507.60, 157,907.92 and 105,456.44 is: 145,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,507.60 : 157,907.92 = 105,456.44 : x
  2. Step 2: Convert to fraction form
    114,507.60/157,907.92 = 105,456.44/x
  3. Step 3: Cross multiply
    114,507.60x = 157,907.92 × 105,456.44
  4. Step 4: Simplify right side
    114,507.60x = 16,652,407,091.00
  5. Step 5: Solve for x
    x = 16,652,407,091.00/114,507.60
  6. Step 6: Final answer
    x = 145,426.22

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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.