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Finding the Fourth Proportional to 100,713.40, 138,973.59 and 58,264

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Solution

The fourth proportional to 100,713.40, 138,973.59 and 58,264 is: 80,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.40 : 138,973.59 = 58,264 : x
  2. Step 2: Convert to fraction form
    100,713.40/138,973.59 = 58,264/x
  3. Step 3: Cross multiply
    100,713.40x = 138,973.59 × 58,264
  4. Step 4: Simplify right side
    100,713.40x = 8,097,157,247.76
  5. Step 5: Solve for x
    x = 8,097,157,247.76/100,713.40
  6. Step 6: Final answer
    x = 80,398.01

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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.