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Finding the Fourth Proportional to 267,756.48, 369,515.52 and 160,344

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Solution

The fourth proportional to 267,756.48, 369,515.52 and 160,344 is: 221,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,756.48 : 369,515.52 = 160,344 : x
  2. Step 2: Convert to fraction form
    267,756.48/369,515.52 = 160,344/x
  3. Step 3: Cross multiply
    267,756.48x = 369,515.52 × 160,344
  4. Step 4: Simplify right side
    267,756.48x = 59,249,596,538.88
  5. Step 5: Solve for x
    x = 59,249,596,538.88/267,756.48
  6. Step 6: Final answer
    x = 221,281.65

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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.