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Finding the Fourth Proportional to 174,452.30, 261,678.45 and 156,956.30

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Solution

The fourth proportional to 174,452.30, 261,678.45 and 156,956.30 is: 235,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,452.30 : 261,678.45 = 156,956.30 : x
  2. Step 2: Convert to fraction form
    174,452.30/261,678.45 = 156,956.30/x
  3. Step 3: Cross multiply
    174,452.30x = 261,678.45 × 156,956.30
  4. Step 4: Simplify right side
    174,452.30x = 41,072,081,301.74
  5. Step 5: Solve for x
    x = 41,072,081,301.74/174,452.30
  6. Step 6: Final answer
    x = 235,434.45

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1.5x scale

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.