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Finding the Fourth Proportional to 130,510.50, 195,765.75 and 56,638.50

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Solution

The fourth proportional to 130,510.50, 195,765.75 and 56,638.50 is: 84,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,510.50 : 195,765.75 = 56,638.50 : x
  2. Step 2: Convert to fraction form
    130,510.50/195,765.75 = 56,638.50/x
  3. Step 3: Cross multiply
    130,510.50x = 195,765.75 × 56,638.50
  4. Step 4: Simplify right side
    130,510.50x = 11,087,878,431.38
  5. Step 5: Solve for x
    x = 11,087,878,431.38/130,510.50
  6. Step 6: Final answer
    x = 84,957.75

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