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Finding the Fourth Proportional to 151,165.98, 208,539.23 and 97,468.25

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Solution

The fourth proportional to 151,165.98, 208,539.23 and 97,468.25 is: 134,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,165.98 : 208,539.23 = 97,468.25 : x
  2. Step 2: Convert to fraction form
    151,165.98/208,539.23 = 97,468.25/x
  3. Step 3: Cross multiply
    151,165.98x = 208,539.23 × 97,468.25
  4. Step 4: Simplify right side
    151,165.98x = 20,325,952,274.41
  5. Step 5: Solve for x
    x = 20,325,952,274.41/151,165.98
  6. Step 6: Final answer
    x = 134,461.16

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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.