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Finding the Fourth Proportional to 260,138.88, 358,984.32 and 152,707.20

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Solution

The fourth proportional to 260,138.88, 358,984.32 and 152,707.20 is: 210,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,138.88 : 358,984.32 = 152,707.20 : x
  2. Step 2: Convert to fraction form
    260,138.88/358,984.32 = 152,707.20/x
  3. Step 3: Cross multiply
    260,138.88x = 358,984.32 × 152,707.20
  4. Step 4: Simplify right side
    260,138.88x = 54,819,490,351.10
  5. Step 5: Solve for x
    x = 54,819,490,351.10/260,138.88
  6. Step 6: Final answer
    x = 210,731.63

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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.