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Finding the Fourth Proportional to 97,499, 134,418.51 and 77,422.34

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Solution

The fourth proportional to 97,499, 134,418.51 and 77,422.34 is: 106,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,499 : 134,418.51 = 77,422.34 : x
  2. Step 2: Convert to fraction form
    97,499/134,418.51 = 77,422.34/x
  3. Step 3: Cross multiply
    97,499x = 134,418.51 × 77,422.34
  4. Step 4: Simplify right side
    97,499x = 10,406,995,196.40
  5. Step 5: Solve for x
    x = 10,406,995,196.40/97,499
  6. Step 6: Final answer
    x = 106,739.51

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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.