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Finding the Fourth Proportional to 114,502.74, 158,011.74 and 64,201.74

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Solution

The fourth proportional to 114,502.74, 158,011.74 and 64,201.74 is: 88,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,502.74 : 158,011.74 = 64,201.74 : x
  2. Step 2: Convert to fraction form
    114,502.74/158,011.74 = 64,201.74/x
  3. Step 3: Cross multiply
    114,502.74x = 158,011.74 × 64,201.74
  4. Step 4: Simplify right side
    114,502.74x = 10,144,628,648.43
  5. Step 5: Solve for x
    x = 10,144,628,648.43/114,502.74
  6. Step 6: Final answer
    x = 88,597.26

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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.