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Finding the Fourth Proportional to 176,842.64, 265,255.32 and 66,026

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Solution

The fourth proportional to 176,842.64, 265,255.32 and 66,026 is: 99,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,842.64 : 265,255.32 = 66,026 : x
  2. Step 2: Convert to fraction form
    176,842.64/265,255.32 = 66,026/x
  3. Step 3: Cross multiply
    176,842.64x = 265,255.32 × 66,026
  4. Step 4: Simplify right side
    176,842.64x = 17,513,747,758.32
  5. Step 5: Solve for x
    x = 17,513,747,758.32/176,842.64
  6. Step 6: Final answer
    x = 99,035.77

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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.