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Finding the Fourth Proportional to 114,953, 158,635.16 and 64,652

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Solution

The fourth proportional to 114,953, 158,635.16 and 64,652 is: 89,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,953 : 158,635.16 = 64,652 : x
  2. Step 2: Convert to fraction form
    114,953/158,635.16 = 64,652/x
  3. Step 3: Cross multiply
    114,953x = 158,635.16 × 64,652
  4. Step 4: Simplify right side
    114,953x = 10,256,080,364.32
  5. Step 5: Solve for x
    x = 10,256,080,364.32/114,953
  6. Step 6: Final answer
    x = 89,219.77

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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.