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Finding the Fourth Proportional to 114,478.56, 157,980.32 and 64,177.56

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Solution

The fourth proportional to 114,478.56, 157,980.32 and 64,177.56 is: 88,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,478.56 : 157,980.32 = 64,177.56 : x
  2. Step 2: Convert to fraction form
    114,478.56/157,980.32 = 64,177.56/x
  3. Step 3: Cross multiply
    114,478.56x = 157,980.32 × 64,177.56
  4. Step 4: Simplify right side
    114,478.56x = 10,138,791,465.62
  5. Step 5: Solve for x
    x = 10,138,791,465.62/114,478.56
  6. Step 6: Final answer
    x = 88,564.98

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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.