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Finding the Fourth Proportional to 235,585, 353,490.90 and 117,266.68

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Solution

The fourth proportional to 235,585, 353,490.90 and 117,266.68 is: 175,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,585 : 353,490.90 = 117,266.68 : x
  2. Step 2: Convert to fraction form
    235,585/353,490.90 = 117,266.68/x
  3. Step 3: Cross multiply
    235,585x = 353,490.90 × 117,266.68
  4. Step 4: Simplify right side
    235,585x = 41,452,704,253.21
  5. Step 5: Solve for x
    x = 41,452,704,253.21/235,585
  6. Step 6: Final answer
    x = 175,956.47

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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.