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Finding the Fourth Proportional to 130,477.71, 180,146.96 and 81,493.97

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Solution

The fourth proportional to 130,477.71, 180,146.96 and 81,493.97 is: 112,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.71 : 180,146.96 = 81,493.97 : x
  2. Step 2: Convert to fraction form
    130,477.71/180,146.96 = 81,493.97/x
  3. Step 3: Cross multiply
    130,477.71x = 180,146.96 × 81,493.97
  4. Step 4: Simplify right side
    130,477.71x = 14,680,890,953.83
  5. Step 5: Solve for x
    x = 14,680,890,953.83/130,477.71
  6. Step 6: Final answer
    x = 112,516.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.