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Finding the Fourth Proportional to 262,176.28, 361,748.95 and 153,259.47

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Solution

The fourth proportional to 262,176.28, 361,748.95 and 153,259.47 is: 211,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,176.28 : 361,748.95 = 153,259.47 : x
  2. Step 2: Convert to fraction form
    262,176.28/361,748.95 = 153,259.47/x
  3. Step 3: Cross multiply
    262,176.28x = 361,748.95 × 153,259.47
  4. Step 4: Simplify right side
    262,176.28x = 55,441,452,350.06
  5. Step 5: Solve for x
    x = 55,441,452,350.06/262,176.28
  6. Step 6: Final answer
    x = 211,466.32

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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.