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Finding the Fourth Proportional to 130,032.20, 181,811.80 and 130,032.20

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Solution

The fourth proportional to 130,032.20, 181,811.80 and 130,032.20 is: 181,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,032.20 : 181,811.80 = 130,032.20 : x
  2. Step 2: Convert to fraction form
    130,032.20/181,811.80 = 130,032.20/x
  3. Step 3: Cross multiply
    130,032.20x = 181,811.80 × 130,032.20
  4. Step 4: Simplify right side
    130,032.20x = 23,641,388,339.96
  5. Step 5: Solve for x
    x = 23,641,388,339.96/130,032.20
  6. Step 6: Final answer
    x = 181,811.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.