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Finding the Fourth Proportional to 132,294.60, 197,955.90 and 97,302.60

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Solution

The fourth proportional to 132,294.60, 197,955.90 and 97,302.60 is: 145,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294.60 : 197,955.90 = 97,302.60 : x
  2. Step 2: Convert to fraction form
    132,294.60/197,955.90 = 97,302.60/x
  3. Step 3: Cross multiply
    132,294.60x = 197,955.90 × 97,302.60
  4. Step 4: Simplify right side
    132,294.60x = 19,261,623,755.34
  5. Step 5: Solve for x
    x = 19,261,623,755.34/132,294.60
  6. Step 6: Final answer
    x = 145,596.45

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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.