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Finding the Fourth Proportional to 114,534, 158,057.01 and 64,233

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Solution

The fourth proportional to 114,534, 158,057.01 and 64,233 is: 88,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534 : 158,057.01 = 64,233 : x
  2. Step 2: Convert to fraction form
    114,534/158,057.01 = 64,233/x
  3. Step 3: Cross multiply
    114,534x = 158,057.01 × 64,233
  4. Step 4: Simplify right side
    114,534x = 10,152,475,923.33
  5. Step 5: Solve for x
    x = 10,152,475,923.33/114,534
  6. Step 6: Final answer
    x = 88,641.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.