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Finding the Fourth Proportional to 130,577.50, 195,868.41 and 56,705.50

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Solution

The fourth proportional to 130,577.50, 195,868.41 and 56,705.50 is: 85,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,577.50 : 195,868.41 = 56,705.50 : x
  2. Step 2: Convert to fraction form
    130,577.50/195,868.41 = 56,705.50/x
  3. Step 3: Cross multiply
    130,577.50x = 195,868.41 × 56,705.50
  4. Step 4: Simplify right side
    130,577.50x = 11,106,816,123.26
  5. Step 5: Solve for x
    x = 11,106,816,123.26/130,577.50
  6. Step 6: Final answer
    x = 85,059.19

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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.