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Finding the Fourth Proportional to 126,051.30, 189,076.95 and 97,510.95

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Solution

The fourth proportional to 126,051.30, 189,076.95 and 97,510.95 is: 146,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,051.30 : 189,076.95 = 97,510.95 : x
  2. Step 2: Convert to fraction form
    126,051.30/189,076.95 = 97,510.95/x
  3. Step 3: Cross multiply
    126,051.30x = 189,076.95 × 97,510.95
  4. Step 4: Simplify right side
    126,051.30x = 18,437,073,017.60
  5. Step 5: Solve for x
    x = 18,437,073,017.60/126,051.30
  6. Step 6: Final answer
    x = 146,266.43

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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.