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Finding the Fourth Proportional to 130,587.81, 180,249.69 and 85,272.84

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Solution

The fourth proportional to 130,587.81, 180,249.69 and 85,272.84 is: 117,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,587.81 : 180,249.69 = 85,272.84 : x
  2. Step 2: Convert to fraction form
    130,587.81/180,249.69 = 85,272.84/x
  3. Step 3: Cross multiply
    130,587.81x = 180,249.69 × 85,272.84
  4. Step 4: Simplify right side
    130,587.81x = 15,370,402,975.42
  5. Step 5: Solve for x
    x = 15,370,402,975.42/130,587.81
  6. Step 6: Final answer
    x = 117,701.67

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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.