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Finding the Fourth Proportional to 100,314.61, 138,444.07 and 57,300.53

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Solution

The fourth proportional to 100,314.61, 138,444.07 and 57,300.53 is: 79,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314.61 : 138,444.07 = 57,300.53 : x
  2. Step 2: Convert to fraction form
    100,314.61/138,444.07 = 57,300.53/x
  3. Step 3: Cross multiply
    100,314.61x = 138,444.07 × 57,300.53
  4. Step 4: Simplify right side
    100,314.61x = 7,932,918,586.36
  5. Step 5: Solve for x
    x = 7,932,918,586.36/100,314.61
  6. Step 6: Final answer
    x = 79,080.39

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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.