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Finding the Fourth Proportional to 115,052.32, 172,461.60 and 87,292

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Solution

The fourth proportional to 115,052.32, 172,461.60 and 87,292 is: 130,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,052.32 : 172,461.60 = 87,292 : x
  2. Step 2: Convert to fraction form
    115,052.32/172,461.60 = 87,292/x
  3. Step 3: Cross multiply
    115,052.32x = 172,461.60 × 87,292
  4. Step 4: Simplify right side
    115,052.32x = 15,054,517,987.20
  5. Step 5: Solve for x
    x = 15,054,517,987.20/115,052.32
  6. Step 6: Final answer
    x = 130,849.32

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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.