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Finding the Fourth Proportional to 288,355.24, 432,532.86 and 148,035.88

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Solution

The fourth proportional to 288,355.24, 432,532.86 and 148,035.88 is: 222,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,355.24 : 432,532.86 = 148,035.88 : x
  2. Step 2: Convert to fraction form
    288,355.24/432,532.86 = 148,035.88/x
  3. Step 3: Cross multiply
    288,355.24x = 432,532.86 × 148,035.88
  4. Step 4: Simplify right side
    288,355.24x = 64,030,382,559.02
  5. Step 5: Solve for x
    x = 64,030,382,559.02/288,355.24
  6. Step 6: Final answer
    x = 222,053.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.