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Finding the Fourth Proportional to 176,971.54, 265,394.77 and 57,023.70

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Solution

The fourth proportional to 176,971.54, 265,394.77 and 57,023.70 is: 85,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971.54 : 265,394.77 = 57,023.70 : x
  2. Step 2: Convert to fraction form
    176,971.54/265,394.77 = 57,023.70/x
  3. Step 3: Cross multiply
    176,971.54x = 265,394.77 × 57,023.70
  4. Step 4: Simplify right side
    176,971.54x = 15,133,791,746.05
  5. Step 5: Solve for x
    x = 15,133,791,746.05/176,971.54
  6. Step 6: Final answer
    x = 85,515.40

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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.