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Finding the Fourth Proportional to 132,314.10, 197,985.15 and 97,322.10

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Solution

The fourth proportional to 132,314.10, 197,985.15 and 97,322.10 is: 145,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,314.10 : 197,985.15 = 97,322.10 : x
  2. Step 2: Convert to fraction form
    132,314.10/197,985.15 = 97,322.10/x
  3. Step 3: Cross multiply
    132,314.10x = 197,985.15 × 97,322.10
  4. Step 4: Simplify right side
    132,314.10x = 19,268,330,566.82
  5. Step 5: Solve for x
    x = 19,268,330,566.82/132,314.10
  6. Step 6: Final answer
    x = 145,625.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.