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Finding the Fourth Proportional to 176,511, 243,585.18 and 97,023

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Solution

The fourth proportional to 176,511, 243,585.18 and 97,023 is: 133,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,511 : 243,585.18 = 97,023 : x
  2. Step 2: Convert to fraction form
    176,511/243,585.18 = 97,023/x
  3. Step 3: Cross multiply
    176,511x = 243,585.18 × 97,023
  4. Step 4: Simplify right side
    176,511x = 23,633,364,919.14
  5. Step 5: Solve for x
    x = 23,633,364,919.14/176,511
  6. Step 6: Final answer
    x = 133,891.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.