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Finding the Fourth Proportional to 130,228.65, 182,582.55 and 130,228.65

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Solution

The fourth proportional to 130,228.65, 182,582.55 and 130,228.65 is: 182,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,228.65 : 182,582.55 = 130,228.65 : x
  2. Step 2: Convert to fraction form
    130,228.65/182,582.55 = 130,228.65/x
  3. Step 3: Cross multiply
    130,228.65x = 182,582.55 × 130,228.65
  4. Step 4: Simplify right side
    130,228.65x = 23,777,479,000.06
  5. Step 5: Solve for x
    x = 23,777,479,000.06/130,228.65
  6. Step 6: Final answer
    x = 182,582.55

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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.