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Finding the Fourth Proportional to 130,471.08, 180,124.74 and 85,888.68

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Solution

The fourth proportional to 130,471.08, 180,124.74 and 85,888.68 is: 118,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,471.08 : 180,124.74 = 85,888.68 : x
  2. Step 2: Convert to fraction form
    130,471.08/180,124.74 = 85,888.68/x
  3. Step 3: Cross multiply
    130,471.08x = 180,124.74 × 85,888.68
  4. Step 4: Simplify right side
    130,471.08x = 15,470,676,153.94
  5. Step 5: Solve for x
    x = 15,470,676,153.94/130,471.08
  6. Step 6: Final answer
    x = 118,575.52

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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.