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Finding the Fourth Proportional to 130,698.09, 180,335.88 and 85,442.40

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Solution

The fourth proportional to 130,698.09, 180,335.88 and 85,442.40 is: 117,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,698.09 : 180,335.88 = 85,442.40 : x
  2. Step 2: Convert to fraction form
    130,698.09/180,335.88 = 85,442.40/x
  3. Step 3: Cross multiply
    130,698.09x = 180,335.88 × 85,442.40
  4. Step 4: Simplify right side
    130,698.09x = 15,408,330,393.31
  5. Step 5: Solve for x
    x = 15,408,330,393.31/130,698.09
  6. Step 6: Final answer
    x = 117,892.54

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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.