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Finding the Fourth Proportional to 174,746.40, 261,536.40 and 122,258.40

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Solution

The fourth proportional to 174,746.40, 261,536.40 and 122,258.40 is: 182,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,746.40 : 261,536.40 = 122,258.40 : x
  2. Step 2: Convert to fraction form
    174,746.40/261,536.40 = 122,258.40/x
  3. Step 3: Cross multiply
    174,746.40x = 261,536.40 × 122,258.40
  4. Step 4: Simplify right side
    174,746.40x = 31,975,021,805.76
  5. Step 5: Solve for x
    x = 31,975,021,805.76/174,746.40
  6. Step 6: Final answer
    x = 182,979.57

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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.