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Finding the Fourth Proportional to 268,585.60, 402,222.30 and 201,663.40

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Solution

The fourth proportional to 268,585.60, 402,222.30 and 201,663.40 is: 302,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,585.60 : 402,222.30 = 201,663.40 : x
  2. Step 2: Convert to fraction form
    268,585.60/402,222.30 = 201,663.40/x
  3. Step 3: Cross multiply
    268,585.60x = 402,222.30 × 201,663.40
  4. Step 4: Simplify right side
    268,585.60x = 81,113,516,573.82
  5. Step 5: Solve for x
    x = 81,113,516,573.82/268,585.60
  6. Step 6: Final answer
    x = 302,002.48

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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.