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Finding the Fourth Proportional to 176,585.60, 265,024.20 and 81,961.40

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Solution

The fourth proportional to 176,585.60, 265,024.20 and 81,961.40 is: 123,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,585.60 : 265,024.20 = 81,961.40 : x
  2. Step 2: Convert to fraction form
    176,585.60/265,024.20 = 81,961.40/x
  3. Step 3: Cross multiply
    176,585.60x = 265,024.20 × 81,961.40
  4. Step 4: Simplify right side
    176,585.60x = 21,721,754,465.88
  5. Step 5: Solve for x
    x = 21,721,754,465.88/176,585.60
  6. Step 6: Final answer
    x = 123,009.77

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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.