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Finding the Fourth Proportional to 176,590, 243,694.20 and 97,102

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Solution

The fourth proportional to 176,590, 243,694.20 and 97,102 is: 134,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,590 : 243,694.20 = 97,102 : x
  2. Step 2: Convert to fraction form
    176,590/243,694.20 = 97,102/x
  3. Step 3: Cross multiply
    176,590x = 243,694.20 × 97,102
  4. Step 4: Simplify right side
    176,590x = 23,663,194,208.40
  5. Step 5: Solve for x
    x = 23,663,194,208.40/176,590
  6. Step 6: Final answer
    x = 134,000.76

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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.