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Finding the Fourth Proportional to 260,154.32, 359,012.16 and 146,977.04

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Solution

The fourth proportional to 260,154.32, 359,012.16 and 146,977.04 is: 202,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,154.32 : 359,012.16 = 146,977.04 : x
  2. Step 2: Convert to fraction form
    260,154.32/359,012.16 = 146,977.04/x
  3. Step 3: Cross multiply
    260,154.32x = 359,012.16 × 146,977.04
  4. Step 4: Simplify right side
    260,154.32x = 52,766,544,600.81
  5. Step 5: Solve for x
    x = 52,766,544,600.81/260,154.32
  6. Step 6: Final answer
    x = 202,827.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.