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Finding the Fourth Proportional to 130,245.57, 195,368.49 and 41,499

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Solution

The fourth proportional to 130,245.57, 195,368.49 and 41,499 is: 62,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,245.57 : 195,368.49 = 41,499 : x
  2. Step 2: Convert to fraction form
    130,245.57/195,368.49 = 41,499/x
  3. Step 3: Cross multiply
    130,245.57x = 195,368.49 × 41,499
  4. Step 4: Simplify right side
    130,245.57x = 8,107,596,966.51
  5. Step 5: Solve for x
    x = 8,107,596,966.51/130,245.57
  6. Step 6: Final answer
    x = 62,248.54

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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.